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Simplifying x + -1(4 + -1x) = 5(x + 1) + x x + (4 * -1 + -1x * -1) = 5(x + 1) + x x + (-4 + 1x) = 5(x + 1) + x Reorder the terms: -4 + x + 1x = 5(x + 1) + x Combine like terms: x + 1x = 2x -4 + 2x = 5(x + 1) + x Reorder the terms: -4 + 2x = 5(1 + x) + x -4 + 2x = (1 * 5 + x * 5) + x -4 + 2x = (5 + 5x) + x Combine like terms: 5x + x = 6x -4 + 2x = 5 + 6x Solving -4 + 2x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = 5 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 5 + 0 -4 + -4x = 5 Add '4' to each side of the equation. -4 + 4 + -4x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 5 + 4 -4x = 5 + 4 Combine like terms: 5 + 4 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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