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Simplifying 5(x + 3) = 3(1 + -1x) Reorder the terms: 5(3 + x) = 3(1 + -1x) (3 * 5 + x * 5) = 3(1 + -1x) (15 + 5x) = 3(1 + -1x) 15 + 5x = (1 * 3 + -1x * 3) 15 + 5x = (3 + -3x) Solving 15 + 5x = 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 + 5x + 3x = 3 + -3x + 3x Combine like terms: 5x + 3x = 8x 15 + 8x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 8x = 3 + 0 15 + 8x = 3 Add '-15' to each side of the equation. 15 + -15 + 8x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 3 + -15 8x = 3 + -15 Combine like terms: 3 + -15 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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