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