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Simplifying 4(3 + -2x) + 18 = 2(3 + 2x) (3 * 4 + -2x * 4) + 18 = 2(3 + 2x) (12 + -8x) + 18 = 2(3 + 2x) Reorder the terms: 12 + 18 + -8x = 2(3 + 2x) Combine like terms: 12 + 18 = 30 30 + -8x = 2(3 + 2x) 30 + -8x = (3 * 2 + 2x * 2) 30 + -8x = (6 + 4x) Solving 30 + -8x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + -8x + -4x = 6 + 4x + -4x Combine like terms: -8x + -4x = -12x 30 + -12x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -12x = 6 + 0 30 + -12x = 6 Add '-30' to each side of the equation. 30 + -30 + -12x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 6 + -30 -12x = 6 + -30 Combine like terms: 6 + -30 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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