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Simplifying 18 = 3(x + -2) + -1(x + -8) Reorder the terms: 18 = 3(-2 + x) + -1(x + -8) 18 = (-2 * 3 + x * 3) + -1(x + -8) 18 = (-6 + 3x) + -1(x + -8) Reorder the terms: 18 = -6 + 3x + -1(-8 + x) 18 = -6 + 3x + (-8 * -1 + x * -1) 18 = -6 + 3x + (8 + -1x) Reorder the terms: 18 = -6 + 8 + 3x + -1x Combine like terms: -6 + 8 = 2 18 = 2 + 3x + -1x Combine like terms: 3x + -1x = 2x 18 = 2 + 2x Solving 18 = 2 + 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. 18 + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -2x = 2 + 0 18 + -2x = 2 Add '-18' to each side of the equation. 18 + -18 + -2x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 2 + -18 -2x = 2 + -18 Combine like terms: 2 + -18 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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