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Simplifying 5(2 + -1x) = 7(x + -2) (2 * 5 + -1x * 5) = 7(x + -2) (10 + -5x) = 7(x + -2) Reorder the terms: 10 + -5x = 7(-2 + x) 10 + -5x = (-2 * 7 + x * 7) 10 + -5x = (-14 + 7x) Solving 10 + -5x = -14 + 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. 10 + -5x + -7x = -14 + 7x + -7x Combine like terms: -5x + -7x = -12x 10 + -12x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -12x = -14 + 0 10 + -12x = -14 Add '-10' to each side of the equation. 10 + -10 + -12x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -14 + -10 -12x = -14 + -10 Combine like terms: -14 + -10 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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