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Simplifying 2(4x + 7) + -3(x + 2) = 18 Reorder the terms: 2(7 + 4x) + -3(x + 2) = 18 (7 * 2 + 4x * 2) + -3(x + 2) = 18 (14 + 8x) + -3(x + 2) = 18 Reorder the terms: 14 + 8x + -3(2 + x) = 18 14 + 8x + (2 * -3 + x * -3) = 18 14 + 8x + (-6 + -3x) = 18 Reorder the terms: 14 + -6 + 8x + -3x = 18 Combine like terms: 14 + -6 = 8 8 + 8x + -3x = 18 Combine like terms: 8x + -3x = 5x 8 + 5x = 18 Solving 8 + 5x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 18 + -8 5x = 18 + -8 Combine like terms: 18 + -8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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