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Simplifying 4x + -1(x + 1) = -4 + 5(x + -5) Reorder the terms: 4x + -1(1 + x) = -4 + 5(x + -5) 4x + (1 * -1 + x * -1) = -4 + 5(x + -5) 4x + (-1 + -1x) = -4 + 5(x + -5) Reorder the terms: -1 + 4x + -1x = -4 + 5(x + -5) Combine like terms: 4x + -1x = 3x -1 + 3x = -4 + 5(x + -5) Reorder the terms: -1 + 3x = -4 + 5(-5 + x) -1 + 3x = -4 + (-5 * 5 + x * 5) -1 + 3x = -4 + (-25 + 5x) Combine like terms: -4 + -25 = -29 -1 + 3x = -29 + 5x Solving -1 + 3x = -29 + 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. -1 + 3x + -5x = -29 + 5x + -5x Combine like terms: 3x + -5x = -2x -1 + -2x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -2x = -29 + 0 -1 + -2x = -29 Add '1' to each side of the equation. -1 + 1 + -2x = -29 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -29 + 1 -2x = -29 + 1 Combine like terms: -29 + 1 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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