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Simplifying 5(2x + -3) = 8 + -3(x + -1) Reorder the terms: 5(-3 + 2x) = 8 + -3(x + -1) (-3 * 5 + 2x * 5) = 8 + -3(x + -1) (-15 + 10x) = 8 + -3(x + -1) Reorder the terms: -15 + 10x = 8 + -3(-1 + x) -15 + 10x = 8 + (-1 * -3 + x * -3) -15 + 10x = 8 + (3 + -3x) Combine like terms: 8 + 3 = 11 -15 + 10x = 11 + -3x Solving -15 + 10x = 11 + -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 + 10x + 3x = 11 + -3x + 3x Combine like terms: 10x + 3x = 13x -15 + 13x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 13x = 11 + 0 -15 + 13x = 11 Add '15' to each side of the equation. -15 + 15 + 13x = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 11 + 15 13x = 11 + 15 Combine like terms: 11 + 15 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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