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Simplifying x + -4(x + -1) = 4x + -5(x + -1) Reorder the terms: x + -4(-1 + x) = 4x + -5(x + -1) x + (-1 * -4 + x * -4) = 4x + -5(x + -1) x + (4 + -4x) = 4x + -5(x + -1) Reorder the terms: 4 + x + -4x = 4x + -5(x + -1) Combine like terms: x + -4x = -3x 4 + -3x = 4x + -5(x + -1) Reorder the terms: 4 + -3x = 4x + -5(-1 + x) 4 + -3x = 4x + (-1 * -5 + x * -5) 4 + -3x = 4x + (5 + -5x) Reorder the terms: 4 + -3x = 5 + 4x + -5x Combine like terms: 4x + -5x = -1x 4 + -3x = 5 + -1x Solving 4 + -3x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -3x + x = 5 + -1x + x Combine like terms: -3x + x = -2x 4 + -2x = 5 + -1x + x Combine like terms: -1x + x = 0 4 + -2x = 5 + 0 4 + -2x = 5 Add '-4' to each side of the equation. 4 + -4 + -2x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 5 + -4 -2x = 5 + -4 Combine like terms: 5 + -4 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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