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Simplifying 24(x + 13) = 12(x + -10) Reorder the terms: 24(13 + x) = 12(x + -10) (13 * 24 + x * 24) = 12(x + -10) (312 + 24x) = 12(x + -10) Reorder the terms: 312 + 24x = 12(-10 + x) 312 + 24x = (-10 * 12 + x * 12) 312 + 24x = (-120 + 12x) Solving 312 + 24x = -120 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 312 + 24x + -12x = -120 + 12x + -12x Combine like terms: 24x + -12x = 12x 312 + 12x = -120 + 12x + -12x Combine like terms: 12x + -12x = 0 312 + 12x = -120 + 0 312 + 12x = -120 Add '-312' to each side of the equation. 312 + -312 + 12x = -120 + -312 Combine like terms: 312 + -312 = 0 0 + 12x = -120 + -312 12x = -120 + -312 Combine like terms: -120 + -312 = -432 12x = -432 Divide each side by '12'. x = -36 Simplifying x = -36
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