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Simplifying 3(x + -4) + 2x = 8x + 15 Reorder the terms: 3(-4 + x) + 2x = 8x + 15 (-4 * 3 + x * 3) + 2x = 8x + 15 (-12 + 3x) + 2x = 8x + 15 Combine like terms: 3x + 2x = 5x -12 + 5x = 8x + 15 Reorder the terms: -12 + 5x = 15 + 8x Solving -12 + 5x = 15 + 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. -12 + 5x + -8x = 15 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = 15 + 0 -12 + -3x = 15 Add '12' to each side of the equation. -12 + 12 + -3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 15 + 12 -3x = 15 + 12 Combine like terms: 15 + 12 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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