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Simplifying 3(x + 1) = -5(2x + -3) + 5x Reorder the terms: 3(1 + x) = -5(2x + -3) + 5x (1 * 3 + x * 3) = -5(2x + -3) + 5x (3 + 3x) = -5(2x + -3) + 5x Reorder the terms: 3 + 3x = -5(-3 + 2x) + 5x 3 + 3x = (-3 * -5 + 2x * -5) + 5x 3 + 3x = (15 + -10x) + 5x Combine like terms: -10x + 5x = -5x 3 + 3x = 15 + -5x Solving 3 + 3x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 3x + 5x = 15 + -5x + 5x Combine like terms: 3x + 5x = 8x 3 + 8x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 8x = 15 + 0 3 + 8x = 15 Add '-3' to each side of the equation. 3 + -3 + 8x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 15 + -3 8x = 15 + -3 Combine like terms: 15 + -3 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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