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Simplifying -5(2x + -15) = 2(x + -22) + -27 Reorder the terms: -5(-15 + 2x) = 2(x + -22) + -27 (-15 * -5 + 2x * -5) = 2(x + -22) + -27 (75 + -10x) = 2(x + -22) + -27 Reorder the terms: 75 + -10x = 2(-22 + x) + -27 75 + -10x = (-22 * 2 + x * 2) + -27 75 + -10x = (-44 + 2x) + -27 Reorder the terms: 75 + -10x = -44 + -27 + 2x Combine like terms: -44 + -27 = -71 75 + -10x = -71 + 2x Solving 75 + -10x = -71 + 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 = -71 + 2x + -2x Combine like terms: -10x + -2x = -12x 75 + -12x = -71 + 2x + -2x Combine like terms: 2x + -2x = 0 75 + -12x = -71 + 0 75 + -12x = -71 Add '-75' to each side of the equation. 75 + -75 + -12x = -71 + -75 Combine like terms: 75 + -75 = 0 0 + -12x = -71 + -75 -12x = -71 + -75 Combine like terms: -71 + -75 = -146 -12x = -146 Divide each side by '-12'. x = 12.16666667 Simplifying x = 12.16666667
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