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Simplifying 4(x + -6) = -5(5 + -1x) Reorder the terms: 4(-6 + x) = -5(5 + -1x) (-6 * 4 + x * 4) = -5(5 + -1x) (-24 + 4x) = -5(5 + -1x) -24 + 4x = (5 * -5 + -1x * -5) -24 + 4x = (-25 + 5x) Solving -24 + 4x = -25 + 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 = -25 + 5x + -5x Combine like terms: 4x + -5x = -1x -24 + -1x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -1x = -25 + 0 -24 + -1x = -25 Add '24' to each side of the equation. -24 + 24 + -1x = -25 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -25 + 24 -1x = -25 + 24 Combine like terms: -25 + 24 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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