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Simplifying -2(x + -18) + 6(x + 2) = 12(x + -20) Reorder the terms: -2(-18 + x) + 6(x + 2) = 12(x + -20) (-18 * -2 + x * -2) + 6(x + 2) = 12(x + -20) (36 + -2x) + 6(x + 2) = 12(x + -20) Reorder the terms: 36 + -2x + 6(2 + x) = 12(x + -20) 36 + -2x + (2 * 6 + x * 6) = 12(x + -20) 36 + -2x + (12 + 6x) = 12(x + -20) Reorder the terms: 36 + 12 + -2x + 6x = 12(x + -20) Combine like terms: 36 + 12 = 48 48 + -2x + 6x = 12(x + -20) Combine like terms: -2x + 6x = 4x 48 + 4x = 12(x + -20) Reorder the terms: 48 + 4x = 12(-20 + x) 48 + 4x = (-20 * 12 + x * 12) 48 + 4x = (-240 + 12x) Solving 48 + 4x = -240 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 48 + 4x + -12x = -240 + 12x + -12x Combine like terms: 4x + -12x = -8x 48 + -8x = -240 + 12x + -12x Combine like terms: 12x + -12x = 0 48 + -8x = -240 + 0 48 + -8x = -240 Add '-48' to each side of the equation. 48 + -48 + -8x = -240 + -48 Combine like terms: 48 + -48 = 0 0 + -8x = -240 + -48 -8x = -240 + -48 Combine like terms: -240 + -48 = -288 -8x = -288 Divide each side by '-8'. x = 36 Simplifying x = 36
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