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Simplifying 3(x + 2) + -4(2x + 3) = 15 Reorder the terms: 3(2 + x) + -4(2x + 3) = 15 (2 * 3 + x * 3) + -4(2x + 3) = 15 (6 + 3x) + -4(2x + 3) = 15 Reorder the terms: 6 + 3x + -4(3 + 2x) = 15 6 + 3x + (3 * -4 + 2x * -4) = 15 6 + 3x + (-12 + -8x) = 15 Reorder the terms: 6 + -12 + 3x + -8x = 15 Combine like terms: 6 + -12 = -6 -6 + 3x + -8x = 15 Combine like terms: 3x + -8x = -5x -6 + -5x = 15 Solving -6 + -5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 15 + 6 -5x = 15 + 6 Combine like terms: 15 + 6 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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