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Simplifying 18 = 2(x + 4) + 3(2x + -6) Reorder the terms: 18 = 2(4 + x) + 3(2x + -6) 18 = (4 * 2 + x * 2) + 3(2x + -6) 18 = (8 + 2x) + 3(2x + -6) Reorder the terms: 18 = 8 + 2x + 3(-6 + 2x) 18 = 8 + 2x + (-6 * 3 + 2x * 3) 18 = 8 + 2x + (-18 + 6x) Reorder the terms: 18 = 8 + -18 + 2x + 6x Combine like terms: 8 + -18 = -10 18 = -10 + 2x + 6x Combine like terms: 2x + 6x = 8x 18 = -10 + 8x Solving 18 = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + -8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -8x = -10 + 0 18 + -8x = -10 Add '-18' to each side of the equation. 18 + -18 + -8x = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -10 + -18 -8x = -10 + -18 Combine like terms: -10 + -18 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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