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Simplifying 15 + -5(3 + -2x) = 8x + 3(x + -5) 15 + (3 * -5 + -2x * -5) = 8x + 3(x + -5) 15 + (-15 + 10x) = 8x + 3(x + -5) Combine like terms: 15 + -15 = 0 0 + 10x = 8x + 3(x + -5) 10x = 8x + 3(x + -5) Reorder the terms: 10x = 8x + 3(-5 + x) 10x = 8x + (-5 * 3 + x * 3) 10x = 8x + (-15 + 3x) Reorder the terms: 10x = -15 + 8x + 3x Combine like terms: 8x + 3x = 11x 10x = -15 + 11x Solving 10x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 10x + -11x = -15 + 11x + -11x Combine like terms: 10x + -11x = -1x -1x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 -1x = -15 + 0 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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