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Simplifying 10(x + -14) = 7(x + -8) Reorder the terms: 10(-14 + x) = 7(x + -8) (-14 * 10 + x * 10) = 7(x + -8) (-140 + 10x) = 7(x + -8) Reorder the terms: -140 + 10x = 7(-8 + x) -140 + 10x = (-8 * 7 + x * 7) -140 + 10x = (-56 + 7x) Solving -140 + 10x = -56 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -140 + 10x + -7x = -56 + 7x + -7x Combine like terms: 10x + -7x = 3x -140 + 3x = -56 + 7x + -7x Combine like terms: 7x + -7x = 0 -140 + 3x = -56 + 0 -140 + 3x = -56 Add '140' to each side of the equation. -140 + 140 + 3x = -56 + 140 Combine like terms: -140 + 140 = 0 0 + 3x = -56 + 140 3x = -56 + 140 Combine like terms: -56 + 140 = 84 3x = 84 Divide each side by '3'. x = 28 Simplifying x = 28
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