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Simplifying 10(x + 2) = 7(x + -1(5 + -1x)) Reorder the terms: 10(2 + x) = 7(x + -1(5 + -1x)) (2 * 10 + x * 10) = 7(x + -1(5 + -1x)) (20 + 10x) = 7(x + -1(5 + -1x)) 20 + 10x = 7(x + (5 * -1 + -1x * -1)) 20 + 10x = 7(x + (-5 + 1x)) Reorder the terms: 20 + 10x = 7(-5 + x + 1x) Combine like terms: x + 1x = 2x 20 + 10x = 7(-5 + 2x) 20 + 10x = (-5 * 7 + 2x * 7) 20 + 10x = (-35 + 14x) Solving 20 + 10x = -35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 20 + 10x + -14x = -35 + 14x + -14x Combine like terms: 10x + -14x = -4x 20 + -4x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + -4x = -35 + 0 20 + -4x = -35 Add '-20' to each side of the equation. 20 + -20 + -4x = -35 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -35 + -20 -4x = -35 + -20 Combine like terms: -35 + -20 = -55 -4x = -55 Divide each side by '-4'. x = 13.75 Simplifying x = 13.75
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