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Simplifying 7 + -3(x + 2) = 2(x + -2) Reorder the terms: 7 + -3(2 + x) = 2(x + -2) 7 + (2 * -3 + x * -3) = 2(x + -2) 7 + (-6 + -3x) = 2(x + -2) Combine like terms: 7 + -6 = 1 1 + -3x = 2(x + -2) Reorder the terms: 1 + -3x = 2(-2 + x) 1 + -3x = (-2 * 2 + x * 2) 1 + -3x = (-4 + 2x) Solving 1 + -3x = -4 + 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 = -4 + 2x + -2x Combine like terms: -3x + -2x = -5x 1 + -5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -5x = -4 + 0 1 + -5x = -4 Add '-1' to each side of the equation. 1 + -1 + -5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -4 + -1 -5x = -4 + -1 Combine like terms: -4 + -1 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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