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Simplifying -5(2x + -7) = 2(x + -24) + -15 Reorder the terms: -5(-7 + 2x) = 2(x + -24) + -15 (-7 * -5 + 2x * -5) = 2(x + -24) + -15 (35 + -10x) = 2(x + -24) + -15 Reorder the terms: 35 + -10x = 2(-24 + x) + -15 35 + -10x = (-24 * 2 + x * 2) + -15 35 + -10x = (-48 + 2x) + -15 Reorder the terms: 35 + -10x = -48 + -15 + 2x Combine like terms: -48 + -15 = -63 35 + -10x = -63 + 2x Solving 35 + -10x = -63 + 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. 35 + -10x + -2x = -63 + 2x + -2x Combine like terms: -10x + -2x = -12x 35 + -12x = -63 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -12x = -63 + 0 35 + -12x = -63 Add '-35' to each side of the equation. 35 + -35 + -12x = -63 + -35 Combine like terms: 35 + -35 = 0 0 + -12x = -63 + -35 -12x = -63 + -35 Combine like terms: -63 + -35 = -98 -12x = -98 Divide each side by '-12'. x = 8.166666667 Simplifying x = 8.166666667
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