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Simplifying 20(6x + 23) = 5(x + -4) Reorder the terms: 20(23 + 6x) = 5(x + -4) (23 * 20 + 6x * 20) = 5(x + -4) (460 + 120x) = 5(x + -4) Reorder the terms: 460 + 120x = 5(-4 + x) 460 + 120x = (-4 * 5 + x * 5) 460 + 120x = (-20 + 5x) Solving 460 + 120x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 460 + 120x + -5x = -20 + 5x + -5x Combine like terms: 120x + -5x = 115x 460 + 115x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 460 + 115x = -20 + 0 460 + 115x = -20 Add '-460' to each side of the equation. 460 + -460 + 115x = -20 + -460 Combine like terms: 460 + -460 = 0 0 + 115x = -20 + -460 115x = -20 + -460 Combine like terms: -20 + -460 = -480 115x = -480 Divide each side by '115'. x = -4.173913043 Simplifying x = -4.173913043
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