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Simplifying (5x * 2 + 2x + -1) + -1(5x * 2 + -6x + 17) = 0 Reorder the terms for easier multiplication: (5 * 2x + 2x + -1) + -1(5x * 2 + -6x + 17) = 0 Multiply 5 * 2 (10x + 2x + -1) + -1(5x * 2 + -6x + 17) = 0 Reorder the terms: (-1 + 10x + 2x) + -1(5x * 2 + -6x + 17) = 0 Combine like terms: 10x + 2x = 12x (-1 + 12x) + -1(5x * 2 + -6x + 17) = 0 Remove parenthesis around (-1 + 12x) -1 + 12x + -1(5x * 2 + -6x + 17) = 0 Reorder the terms for easier multiplication: -1 + 12x + -1(5 * 2x + -6x + 17) = 0 Multiply 5 * 2 -1 + 12x + -1(10x + -6x + 17) = 0 Reorder the terms: -1 + 12x + -1(17 + 10x + -6x) = 0 Combine like terms: 10x + -6x = 4x -1 + 12x + -1(17 + 4x) = 0 -1 + 12x + (17 * -1 + 4x * -1) = 0 -1 + 12x + (-17 + -4x) = 0 Reorder the terms: -1 + -17 + 12x + -4x = 0 Combine like terms: -1 + -17 = -18 -18 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x -18 + 8x = 0 Solving -18 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 0 + 18 8x = 0 + 18 Combine like terms: 0 + 18 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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