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Simplifying x + -1 = 4(x + 2) + -5(x + 1) Reorder the terms: -1 + x = 4(x + 2) + -5(x + 1) Reorder the terms: -1 + x = 4(2 + x) + -5(x + 1) -1 + x = (2 * 4 + x * 4) + -5(x + 1) -1 + x = (8 + 4x) + -5(x + 1) Reorder the terms: -1 + x = 8 + 4x + -5(1 + x) -1 + x = 8 + 4x + (1 * -5 + x * -5) -1 + x = 8 + 4x + (-5 + -5x) Reorder the terms: -1 + x = 8 + -5 + 4x + -5x Combine like terms: 8 + -5 = 3 -1 + x = 3 + 4x + -5x Combine like terms: 4x + -5x = -1x -1 + x = 3 + -1x Solving -1 + x = 3 + -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. -1 + x + x = 3 + -1x + x Combine like terms: x + x = 2x -1 + 2x = 3 + -1x + x Combine like terms: -1x + x = 0 -1 + 2x = 3 + 0 -1 + 2x = 3 Add '1' to each side of the equation. -1 + 1 + 2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 3 + 1 2x = 3 + 1 Combine like terms: 3 + 1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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