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Simplifying 2x + 3 + -3(2x + -4) = 2(5x + 3) + 9 Reorder the terms: 2x + 3 + -3(-4 + 2x) = 2(5x + 3) + 9 2x + 3 + (-4 * -3 + 2x * -3) = 2(5x + 3) + 9 2x + 3 + (12 + -6x) = 2(5x + 3) + 9 Reorder the terms: 3 + 12 + 2x + -6x = 2(5x + 3) + 9 Combine like terms: 3 + 12 = 15 15 + 2x + -6x = 2(5x + 3) + 9 Combine like terms: 2x + -6x = -4x 15 + -4x = 2(5x + 3) + 9 Reorder the terms: 15 + -4x = 2(3 + 5x) + 9 15 + -4x = (3 * 2 + 5x * 2) + 9 15 + -4x = (6 + 10x) + 9 Reorder the terms: 15 + -4x = 6 + 9 + 10x Combine like terms: 6 + 9 = 15 15 + -4x = 15 + 10x Add '-15' to each side of the equation. 15 + -15 + -4x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 0 + -4x = 15 + -15 + 10x -4x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 -4x = 0 + 10x -4x = 10x Solving -4x = 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. -4x + -10x = 10x + -10x Combine like terms: -4x + -10x = -14x -14x = 10x + -10x Combine like terms: 10x + -10x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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