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Simplifying 7 + 3(x + -1) = 5(x + -2) Reorder the terms: 7 + 3(-1 + x) = 5(x + -2) 7 + (-1 * 3 + x * 3) = 5(x + -2) 7 + (-3 + 3x) = 5(x + -2) Combine like terms: 7 + -3 = 4 4 + 3x = 5(x + -2) Reorder the terms: 4 + 3x = 5(-2 + x) 4 + 3x = (-2 * 5 + x * 5) 4 + 3x = (-10 + 5x) Solving 4 + 3x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 3x + -5x = -10 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = -10 + 0 4 + -2x = -10 Add '-4' to each side of the equation. 4 + -4 + -2x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -10 + -4 -2x = -10 + -4 Combine like terms: -10 + -4 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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