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Simplifying 4(x + -1) = 5(1 + x) Reorder the terms: 4(-1 + x) = 5(1 + x) (-1 * 4 + x * 4) = 5(1 + x) (-4 + 4x) = 5(1 + x) -4 + 4x = (1 * 5 + x * 5) -4 + 4x = (5 + 5x) Solving -4 + 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. -4 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 5 + 0 -4 + -1x = 5 Add '4' to each side of the equation. -4 + 4 + -1x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 5 + 4 -1x = 5 + 4 Combine like terms: 5 + 4 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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