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Simplifying 5(x + -1) + 3(x + 1) = 2(x + 2) Reorder the terms: 5(-1 + x) + 3(x + 1) = 2(x + 2) (-1 * 5 + x * 5) + 3(x + 1) = 2(x + 2) (-5 + 5x) + 3(x + 1) = 2(x + 2) Reorder the terms: -5 + 5x + 3(1 + x) = 2(x + 2) -5 + 5x + (1 * 3 + x * 3) = 2(x + 2) -5 + 5x + (3 + 3x) = 2(x + 2) Reorder the terms: -5 + 3 + 5x + 3x = 2(x + 2) Combine like terms: -5 + 3 = -2 -2 + 5x + 3x = 2(x + 2) Combine like terms: 5x + 3x = 8x -2 + 8x = 2(x + 2) Reorder the terms: -2 + 8x = 2(2 + x) -2 + 8x = (2 * 2 + x * 2) -2 + 8x = (4 + 2x) Solving -2 + 8x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 8x + -2x = 4 + 2x + -2x Combine like terms: 8x + -2x = 6x -2 + 6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 6x = 4 + 0 -2 + 6x = 4 Add '2' to each side of the equation. -2 + 2 + 6x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 4 + 2 6x = 4 + 2 Combine like terms: 4 + 2 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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