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Simplifying -4x(1 + -3) + -1(2x + 2) = -4(5)(1 + -3) + -1(2(5) + 2) Combine like terms: 1 + -3 = -2 -4x(-2) + -1(2x + 2) = -4(5)(1 + -3) + -1(2(5) + 2) Reorder the terms for easier multiplication: -4 * -2x + -1(2x + 2) = -4(5)(1 + -3) + -1(2(5) + 2) Multiply -4 * -2 8x + -1(2x + 2) = -4(5)(1 + -3) + -1(2(5) + 2) Reorder the terms: 8x + -1(2 + 2x) = -4(5)(1 + -3) + -1(2(5) + 2) 8x + (2 * -1 + 2x * -1) = -4(5)(1 + -3) + -1(2(5) + 2) 8x + (-2 + -2x) = -4(5)(1 + -3) + -1(2(5) + 2) Reorder the terms: -2 + 8x + -2x = -4(5)(1 + -3) + -1(2(5) + 2) Combine like terms: 8x + -2x = 6x -2 + 6x = -4(5)(1 + -3) + -1(2(5) + 2) Combine like terms: 1 + -3 = -2 -2 + 6x = -4 * 5(-2) + -1(2(5) + 2) Multiply -4 * 5 -2 + 6x = -20 * -2 + -1(2(5) + 2) Multiply -20 * -2 -2 + 6x = 40 + -1(2(5) + 2) Multiply 2 * 5 -2 + 6x = 40 + -1(10 + 2) Combine like terms: 10 + 2 = 12 -2 + 6x = 40 + -1(12) Multiply -1 * 12 -2 + 6x = 40 + -12 Combine like terms: 40 + -12 = 28 -2 + 6x = 28 Solving -2 + 6x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 28 + 2 6x = 28 + 2 Combine like terms: 28 + 2 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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