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Simplifying 7(3x + -8) + -5(4x + -2) = 2(x + -17) Reorder the terms: 7(-8 + 3x) + -5(4x + -2) = 2(x + -17) (-8 * 7 + 3x * 7) + -5(4x + -2) = 2(x + -17) (-56 + 21x) + -5(4x + -2) = 2(x + -17) Reorder the terms: -56 + 21x + -5(-2 + 4x) = 2(x + -17) -56 + 21x + (-2 * -5 + 4x * -5) = 2(x + -17) -56 + 21x + (10 + -20x) = 2(x + -17) Reorder the terms: -56 + 10 + 21x + -20x = 2(x + -17) Combine like terms: -56 + 10 = -46 -46 + 21x + -20x = 2(x + -17) Combine like terms: 21x + -20x = 1x -46 + 1x = 2(x + -17) Reorder the terms: -46 + 1x = 2(-17 + x) -46 + 1x = (-17 * 2 + x * 2) -46 + 1x = (-34 + 2x) Solving -46 + 1x = -34 + 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. -46 + 1x + -2x = -34 + 2x + -2x Combine like terms: 1x + -2x = -1x -46 + -1x = -34 + 2x + -2x Combine like terms: 2x + -2x = 0 -46 + -1x = -34 + 0 -46 + -1x = -34 Add '46' to each side of the equation. -46 + 46 + -1x = -34 + 46 Combine like terms: -46 + 46 = 0 0 + -1x = -34 + 46 -1x = -34 + 46 Combine like terms: -34 + 46 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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