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Simplifying 4(x + 2) = 3(x + 1) + 2(x + -1) Reorder the terms: 4(2 + x) = 3(x + 1) + 2(x + -1) (2 * 4 + x * 4) = 3(x + 1) + 2(x + -1) (8 + 4x) = 3(x + 1) + 2(x + -1) Reorder the terms: 8 + 4x = 3(1 + x) + 2(x + -1) 8 + 4x = (1 * 3 + x * 3) + 2(x + -1) 8 + 4x = (3 + 3x) + 2(x + -1) Reorder the terms: 8 + 4x = 3 + 3x + 2(-1 + x) 8 + 4x = 3 + 3x + (-1 * 2 + x * 2) 8 + 4x = 3 + 3x + (-2 + 2x) Reorder the terms: 8 + 4x = 3 + -2 + 3x + 2x Combine like terms: 3 + -2 = 1 8 + 4x = 1 + 3x + 2x Combine like terms: 3x + 2x = 5x 8 + 4x = 1 + 5x Solving 8 + 4x = 1 + 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. 8 + 4x + -5x = 1 + 5x + -5x Combine like terms: 4x + -5x = -1x 8 + -1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -1x = 1 + 0 8 + -1x = 1 Add '-8' to each side of the equation. 8 + -8 + -1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 1 + -8 -1x = 1 + -8 Combine like terms: 1 + -8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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