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Simplifying 4(5x + 7 + -8x) + 2 = 18 Reorder the terms: 4(7 + 5x + -8x) + 2 = 18 Combine like terms: 5x + -8x = -3x 4(7 + -3x) + 2 = 18 (7 * 4 + -3x * 4) + 2 = 18 (28 + -12x) + 2 = 18 Reorder the terms: 28 + 2 + -12x = 18 Combine like terms: 28 + 2 = 30 30 + -12x = 18 Solving 30 + -12x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -12x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -12x = 18 + -30 -12x = 18 + -30 Combine like terms: 18 + -30 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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