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Simplifying 5(x + 3) + -2x = -3(x + -1) Reorder the terms: 5(3 + x) + -2x = -3(x + -1) (3 * 5 + x * 5) + -2x = -3(x + -1) (15 + 5x) + -2x = -3(x + -1) Combine like terms: 5x + -2x = 3x 15 + 3x = -3(x + -1) Reorder the terms: 15 + 3x = -3(-1 + x) 15 + 3x = (-1 * -3 + x * -3) 15 + 3x = (3 + -3x) Solving 15 + 3x = 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. 15 + 3x + 3x = 3 + -3x + 3x Combine like terms: 3x + 3x = 6x 15 + 6x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 6x = 3 + 0 15 + 6x = 3 Add '-15' to each side of the equation. 15 + -15 + 6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 3 + -15 6x = 3 + -15 Combine like terms: 3 + -15 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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