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