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Simplifying 4(x + 6) = 5(x + -1) Reorder the terms: 4(6 + x) = 5(x + -1) (6 * 4 + x * 4) = 5(x + -1) (24 + 4x) = 5(x + -1) Reorder the terms: 24 + 4x = 5(-1 + x) 24 + 4x = (-1 * 5 + x * 5) 24 + 4x = (-5 + 5x) Solving 24 + 4x = -5 + 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. 24 + 4x + -5x = -5 + 5x + -5x Combine like terms: 4x + -5x = -1x 24 + -1x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -1x = -5 + 0 24 + -1x = -5 Add '-24' to each side of the equation. 24 + -24 + -1x = -5 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -5 + -24 -1x = -5 + -24 Combine like terms: -5 + -24 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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