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Simplifying 12 + -1(4x + -18) = (36 + 4x) + (18 + -6x) Reorder the terms: 12 + -1(-18 + 4x) = (36 + 4x) + (18 + -6x) 12 + (-18 * -1 + 4x * -1) = (36 + 4x) + (18 + -6x) 12 + (18 + -4x) = (36 + 4x) + (18 + -6x) Combine like terms: 12 + 18 = 30 30 + -4x = (36 + 4x) + (18 + -6x) Remove parenthesis around (36 + 4x) 30 + -4x = 36 + 4x + (18 + -6x) Remove parenthesis around (18 + -6x) 30 + -4x = 36 + 4x + 18 + -6x Reorder the terms: 30 + -4x = 36 + 18 + 4x + -6x Combine like terms: 36 + 18 = 54 30 + -4x = 54 + 4x + -6x Combine like terms: 4x + -6x = -2x 30 + -4x = 54 + -2x Solving 30 + -4x = 54 + -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. 30 + -4x + 2x = 54 + -2x + 2x Combine like terms: -4x + 2x = -2x 30 + -2x = 54 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -2x = 54 + 0 30 + -2x = 54 Add '-30' to each side of the equation. 30 + -30 + -2x = 54 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 54 + -30 -2x = 54 + -30 Combine like terms: 54 + -30 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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