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Simplifying 18 = 3(2x + 2) + -4(x + -5) Reorder the terms: 18 = 3(2 + 2x) + -4(x + -5) 18 = (2 * 3 + 2x * 3) + -4(x + -5) 18 = (6 + 6x) + -4(x + -5) Reorder the terms: 18 = 6 + 6x + -4(-5 + x) 18 = 6 + 6x + (-5 * -4 + x * -4) 18 = 6 + 6x + (20 + -4x) Reorder the terms: 18 = 6 + 20 + 6x + -4x Combine like terms: 6 + 20 = 26 18 = 26 + 6x + -4x Combine like terms: 6x + -4x = 2x 18 = 26 + 2x Solving 18 = 26 + 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 = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -2x = 26 + 0 18 + -2x = 26 Add '-18' to each side of the equation. 18 + -18 + -2x = 26 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 26 + -18 -2x = 26 + -18 Combine like terms: 26 + -18 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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