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Simplifying 7 + 3(x + -2) = 5 + 2(x + -5) Reorder the terms: 7 + 3(-2 + x) = 5 + 2(x + -5) 7 + (-2 * 3 + x * 3) = 5 + 2(x + -5) 7 + (-6 + 3x) = 5 + 2(x + -5) Combine like terms: 7 + -6 = 1 1 + 3x = 5 + 2(x + -5) Reorder the terms: 1 + 3x = 5 + 2(-5 + x) 1 + 3x = 5 + (-5 * 2 + x * 2) 1 + 3x = 5 + (-10 + 2x) Combine like terms: 5 + -10 = -5 1 + 3x = -5 + 2x Solving 1 + 3x = -5 + 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. 1 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = -5 + 0 1 + 1x = -5 Add '-1' to each side of the equation. 1 + -1 + 1x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -5 + -1 1x = -5 + -1 Combine like terms: -5 + -1 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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