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Simplifying 3(5 + -1x) + 2(-5 + -1x) = 3(x + 1) (5 * 3 + -1x * 3) + 2(-5 + -1x) = 3(x + 1) (15 + -3x) + 2(-5 + -1x) = 3(x + 1) 15 + -3x + (-5 * 2 + -1x * 2) = 3(x + 1) 15 + -3x + (-10 + -2x) = 3(x + 1) Reorder the terms: 15 + -10 + -3x + -2x = 3(x + 1) Combine like terms: 15 + -10 = 5 5 + -3x + -2x = 3(x + 1) Combine like terms: -3x + -2x = -5x 5 + -5x = 3(x + 1) Reorder the terms: 5 + -5x = 3(1 + x) 5 + -5x = (1 * 3 + x * 3) 5 + -5x = (3 + 3x) Solving 5 + -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. 5 + -5x + -3x = 3 + 3x + -3x Combine like terms: -5x + -3x = -8x 5 + -8x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -8x = 3 + 0 5 + -8x = 3 Add '-5' to each side of the equation. 5 + -5 + -8x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 3 + -5 -8x = 3 + -5 Combine like terms: 3 + -5 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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