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Simplifying 5(3x + -4) + 2(17 + -2x) + -5(2x + 5) = -12 Reorder the terms: 5(-4 + 3x) + 2(17 + -2x) + -5(2x + 5) = -12 (-4 * 5 + 3x * 5) + 2(17 + -2x) + -5(2x + 5) = -12 (-20 + 15x) + 2(17 + -2x) + -5(2x + 5) = -12 -20 + 15x + (17 * 2 + -2x * 2) + -5(2x + 5) = -12 -20 + 15x + (34 + -4x) + -5(2x + 5) = -12 Reorder the terms: -20 + 15x + 34 + -4x + -5(5 + 2x) = -12 -20 + 15x + 34 + -4x + (5 * -5 + 2x * -5) = -12 -20 + 15x + 34 + -4x + (-25 + -10x) = -12 Reorder the terms: -20 + 34 + -25 + 15x + -4x + -10x = -12 Combine like terms: -20 + 34 = 14 14 + -25 + 15x + -4x + -10x = -12 Combine like terms: 14 + -25 = -11 -11 + 15x + -4x + -10x = -12 Combine like terms: 15x + -4x = 11x -11 + 11x + -10x = -12 Combine like terms: 11x + -10x = 1x -11 + 1x = -12 Solving -11 + 1x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1x = -12 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -12 + 11 1x = -12 + 11 Combine like terms: -12 + 11 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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