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Simplifying 4x + -1(12 + -1(17 + -1(5 + -1x) * 2 + x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 Reorder the terms for easier multiplication: 4x + -1(12 + -1(17 + -1 * 2(5 + -1x) + x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 Multiply -1 * 2 4x + -1(12 + -1(17 + -2(5 + -1x) + x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 4x + -1(12 + -1(17 + (5 * -2 + -1x * -2) + x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 4x + -1(12 + -1(17 + (-10 + 2x) + x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 Combine like terms: 17 + -10 = 7 4x + -1(12 + -1(7 + 2x + x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 Combine like terms: 2x + x = 3x 4x + -1(12 + -1(7 + 3x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 4x + -1(12 + (7 * -1 + 3x * -1) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 4x + -1(12 + (-7 + -3x) + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 Combine like terms: 12 + -7 = 5 4x + -1(5 + -3x + -1x) = 3x + -1(7x + -1(2x + 10)) + -3 Combine like terms: -3x + -1x = -4x 4x + -1(5 + -4x) = 3x + -1(7x + -1(2x + 10)) + -3 4x + (5 * -1 + -4x * -1) = 3x + -1(7x + -1(2x + 10)) + -3 4x + (-5 + 4x) = 3x + -1(7x + -1(2x + 10)) + -3 Reorder the terms: -5 + 4x + 4x = 3x + -1(7x + -1(2x + 10)) + -3 Combine like terms: 4x + 4x = 8x -5 + 8x = 3x + -1(7x + -1(2x + 10)) + -3 Reorder the terms: -5 + 8x = 3x + -1(7x + -1(10 + 2x)) + -3 -5 + 8x = 3x + -1(7x + (10 * -1 + 2x * -1)) + -3 -5 + 8x = 3x + -1(7x + (-10 + -2x)) + -3 Reorder the terms: -5 + 8x = 3x + -1(-10 + 7x + -2x) + -3 Combine like terms: 7x + -2x = 5x -5 + 8x = 3x + -1(-10 + 5x) + -3 -5 + 8x = 3x + (-10 * -1 + 5x * -1) + -3 -5 + 8x = 3x + (10 + -5x) + -3 Reorder the terms: -5 + 8x = 10 + -3 + 3x + -5x Combine like terms: 10 + -3 = 7 -5 + 8x = 7 + 3x + -5x Combine like terms: 3x + -5x = -2x -5 + 8x = 7 + -2x Solving -5 + 8x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 8x + 2x = 7 + -2x + 2x Combine like terms: 8x + 2x = 10x -5 + 10x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 10x = 7 + 0 -5 + 10x = 7 Add '5' to each side of the equation. -5 + 5 + 10x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 7 + 5 10x = 7 + 5 Combine like terms: 7 + 5 = 12 10x = 12 Divide each side by '10'. x = 1.2 Simplifying x = 1.2
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