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Simplifying 2(x + -3) + 5(2x + 9) = 63 Reorder the terms: 2(-3 + x) + 5(2x + 9) = 63 (-3 * 2 + x * 2) + 5(2x + 9) = 63 (-6 + 2x) + 5(2x + 9) = 63 Reorder the terms: -6 + 2x + 5(9 + 2x) = 63 -6 + 2x + (9 * 5 + 2x * 5) = 63 -6 + 2x + (45 + 10x) = 63 Reorder the terms: -6 + 45 + 2x + 10x = 63 Combine like terms: -6 + 45 = 39 39 + 2x + 10x = 63 Combine like terms: 2x + 10x = 12x 39 + 12x = 63 Solving 39 + 12x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 12x = 63 + -39 Combine like terms: 39 + -39 = 0 0 + 12x = 63 + -39 12x = 63 + -39 Combine like terms: 63 + -39 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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