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Simplifying 4(x + -1) = 5(x + 5) Reorder the terms: 4(-1 + x) = 5(x + 5) (-1 * 4 + x * 4) = 5(x + 5) (-4 + 4x) = 5(x + 5) Reorder the terms: -4 + 4x = 5(5 + x) -4 + 4x = (5 * 5 + x * 5) -4 + 4x = (25 + 5x) Solving -4 + 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. -4 + 4x + -5x = 25 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 25 + 0 -4 + -1x = 25 Add '4' to each side of the equation. -4 + 4 + -1x = 25 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 25 + 4 -1x = 25 + 4 Combine like terms: 25 + 4 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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