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Simplifying -5(2x + -15) = 2(x + -6) + -9 Reorder the terms: -5(-15 + 2x) = 2(x + -6) + -9 (-15 * -5 + 2x * -5) = 2(x + -6) + -9 (75 + -10x) = 2(x + -6) + -9 Reorder the terms: 75 + -10x = 2(-6 + x) + -9 75 + -10x = (-6 * 2 + x * 2) + -9 75 + -10x = (-12 + 2x) + -9 Reorder the terms: 75 + -10x = -12 + -9 + 2x Combine like terms: -12 + -9 = -21 75 + -10x = -21 + 2x Solving 75 + -10x = -21 + 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 = -21 + 2x + -2x Combine like terms: -10x + -2x = -12x 75 + -12x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + -12x = -21 + 0 75 + -12x = -21 Add '-75' to each side of the equation. 75 + -75 + -12x = -21 + -75 Combine like terms: 75 + -75 = 0 0 + -12x = -21 + -75 -12x = -21 + -75 Combine like terms: -21 + -75 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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