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Simplifying 2(2x + 5) + -3(3x + -4) = 9x + 15 Reorder the terms: 2(5 + 2x) + -3(3x + -4) = 9x + 15 (5 * 2 + 2x * 2) + -3(3x + -4) = 9x + 15 (10 + 4x) + -3(3x + -4) = 9x + 15 Reorder the terms: 10 + 4x + -3(-4 + 3x) = 9x + 15 10 + 4x + (-4 * -3 + 3x * -3) = 9x + 15 10 + 4x + (12 + -9x) = 9x + 15 Reorder the terms: 10 + 12 + 4x + -9x = 9x + 15 Combine like terms: 10 + 12 = 22 22 + 4x + -9x = 9x + 15 Combine like terms: 4x + -9x = -5x 22 + -5x = 9x + 15 Reorder the terms: 22 + -5x = 15 + 9x Solving 22 + -5x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 22 + -5x + -9x = 15 + 9x + -9x Combine like terms: -5x + -9x = -14x 22 + -14x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -14x = 15 + 0 22 + -14x = 15 Add '-22' to each side of the equation. 22 + -22 + -14x = 15 + -22 Combine like terms: 22 + -22 = 0 0 + -14x = 15 + -22 -14x = 15 + -22 Combine like terms: 15 + -22 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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