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Simplifying 2(x + -1) + 3(x + 1) = 4(x + 2) Reorder the terms: 2(-1 + x) + 3(x + 1) = 4(x + 2) (-1 * 2 + x * 2) + 3(x + 1) = 4(x + 2) (-2 + 2x) + 3(x + 1) = 4(x + 2) Reorder the terms: -2 + 2x + 3(1 + x) = 4(x + 2) -2 + 2x + (1 * 3 + x * 3) = 4(x + 2) -2 + 2x + (3 + 3x) = 4(x + 2) Reorder the terms: -2 + 3 + 2x + 3x = 4(x + 2) Combine like terms: -2 + 3 = 1 1 + 2x + 3x = 4(x + 2) Combine like terms: 2x + 3x = 5x 1 + 5x = 4(x + 2) Reorder the terms: 1 + 5x = 4(2 + x) 1 + 5x = (2 * 4 + x * 4) 1 + 5x = (8 + 4x) Solving 1 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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