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