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Simplifying 3(x + -5) + 8x = 18 + -1(3 + -10x) Reorder the terms: 3(-5 + x) + 8x = 18 + -1(3 + -10x) (-5 * 3 + x * 3) + 8x = 18 + -1(3 + -10x) (-15 + 3x) + 8x = 18 + -1(3 + -10x) Combine like terms: 3x + 8x = 11x -15 + 11x = 18 + -1(3 + -10x) -15 + 11x = 18 + (3 * -1 + -10x * -1) -15 + 11x = 18 + (-3 + 10x) Combine like terms: 18 + -3 = 15 -15 + 11x = 15 + 10x Solving -15 + 11x = 15 + 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. -15 + 11x + -10x = 15 + 10x + -10x Combine like terms: 11x + -10x = 1x -15 + 1x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 1x = 15 + 0 -15 + 1x = 15 Add '15' to each side of the equation. -15 + 15 + 1x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 15 + 15 1x = 15 + 15 Combine like terms: 15 + 15 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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