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Simplifying 15 + (2x + -5) * 9 = 5(2x + 7) + 12 + 3 Reorder the terms: 15 + (-5 + 2x) * 9 = 5(2x + 7) + 12 + 3 Reorder the terms for easier multiplication: 15 + 9(-5 + 2x) = 5(2x + 7) + 12 + 3 15 + (-5 * 9 + 2x * 9) = 5(2x + 7) + 12 + 3 15 + (-45 + 18x) = 5(2x + 7) + 12 + 3 Combine like terms: 15 + -45 = -30 -30 + 18x = 5(2x + 7) + 12 + 3 Reorder the terms: -30 + 18x = 5(7 + 2x) + 12 + 3 -30 + 18x = (7 * 5 + 2x * 5) + 12 + 3 -30 + 18x = (35 + 10x) + 12 + 3 Reorder the terms: -30 + 18x = 35 + 12 + 3 + 10x Combine like terms: 35 + 12 = 47 -30 + 18x = 47 + 3 + 10x Combine like terms: 47 + 3 = 50 -30 + 18x = 50 + 10x Solving -30 + 18x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -30 + 18x + -10x = 50 + 10x + -10x Combine like terms: 18x + -10x = 8x -30 + 8x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + 8x = 50 + 0 -30 + 8x = 50 Add '30' to each side of the equation. -30 + 30 + 8x = 50 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 50 + 30 8x = 50 + 30 Combine like terms: 50 + 30 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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