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