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Simplifying -5(2x + -15) = 2(x + -18) + -9 Reorder the terms: -5(-15 + 2x) = 2(x + -18) + -9 (-15 * -5 + 2x * -5) = 2(x + -18) + -9 (75 + -10x) = 2(x + -18) + -9 Reorder the terms: 75 + -10x = 2(-18 + x) + -9 75 + -10x = (-18 * 2 + x * 2) + -9 75 + -10x = (-36 + 2x) + -9 Reorder the terms: 75 + -10x = -36 + -9 + 2x Combine like terms: -36 + -9 = -45 75 + -10x = -45 + 2x Solving 75 + -10x = -45 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 75 + -10x + -2x = -45 + 2x + -2x Combine like terms: -10x + -2x = -12x 75 + -12x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + -12x = -45 + 0 75 + -12x = -45 Add '-75' to each side of the equation. 75 + -75 + -12x = -45 + -75 Combine like terms: 75 + -75 = 0 0 + -12x = -45 + -75 -12x = -45 + -75 Combine like terms: -45 + -75 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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