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Simplifying 3(2x + -9) + 4x = 2(4x + -3) + -3 Reorder the terms: 3(-9 + 2x) + 4x = 2(4x + -3) + -3 (-9 * 3 + 2x * 3) + 4x = 2(4x + -3) + -3 (-27 + 6x) + 4x = 2(4x + -3) + -3 Combine like terms: 6x + 4x = 10x -27 + 10x = 2(4x + -3) + -3 Reorder the terms: -27 + 10x = 2(-3 + 4x) + -3 -27 + 10x = (-3 * 2 + 4x * 2) + -3 -27 + 10x = (-6 + 8x) + -3 Reorder the terms: -27 + 10x = -6 + -3 + 8x Combine like terms: -6 + -3 = -9 -27 + 10x = -9 + 8x Solving -27 + 10x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 10x + -8x = -9 + 8x + -8x Combine like terms: 10x + -8x = 2x -27 + 2x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 2x = -9 + 0 -27 + 2x = -9 Add '27' to each side of the equation. -27 + 27 + 2x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -9 + 27 2x = -9 + 27 Combine like terms: -9 + 27 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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