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Simplifying 3(x + -1) + -4(2x + 3) = 15 Reorder the terms: 3(-1 + x) + -4(2x + 3) = 15 (-1 * 3 + x * 3) + -4(2x + 3) = 15 (-3 + 3x) + -4(2x + 3) = 15 Reorder the terms: -3 + 3x + -4(3 + 2x) = 15 -3 + 3x + (3 * -4 + 2x * -4) = 15 -3 + 3x + (-12 + -8x) = 15 Reorder the terms: -3 + -12 + 3x + -8x = 15 Combine like terms: -3 + -12 = -15 -15 + 3x + -8x = 15 Combine like terms: 3x + -8x = -5x -15 + -5x = 15 Solving -15 + -5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -5x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 15 + 15 -5x = 15 + 15 Combine like terms: 15 + 15 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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