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Simplifying 4(x + 2) + -8 = 2(9 + -1x) + 3x Reorder the terms: 4(2 + x) + -8 = 2(9 + -1x) + 3x (2 * 4 + x * 4) + -8 = 2(9 + -1x) + 3x (8 + 4x) + -8 = 2(9 + -1x) + 3x Reorder the terms: 8 + -8 + 4x = 2(9 + -1x) + 3x Combine like terms: 8 + -8 = 0 0 + 4x = 2(9 + -1x) + 3x 4x = 2(9 + -1x) + 3x 4x = (9 * 2 + -1x * 2) + 3x 4x = (18 + -2x) + 3x Combine like terms: -2x + 3x = 1x 4x = 18 + 1x Solving 4x = 18 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4x + -1x = 18 + 1x + -1x Combine like terms: 4x + -1x = 3x 3x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 3x = 18 + 0 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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