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Simplifying 3(x + -8) + 3(2x + 4) = 15 Reorder the terms: 3(-8 + x) + 3(2x + 4) = 15 (-8 * 3 + x * 3) + 3(2x + 4) = 15 (-24 + 3x) + 3(2x + 4) = 15 Reorder the terms: -24 + 3x + 3(4 + 2x) = 15 -24 + 3x + (4 * 3 + 2x * 3) = 15 -24 + 3x + (12 + 6x) = 15 Reorder the terms: -24 + 12 + 3x + 6x = 15 Combine like terms: -24 + 12 = -12 -12 + 3x + 6x = 15 Combine like terms: 3x + 6x = 9x -12 + 9x = 15 Solving -12 + 9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 15 + 12 9x = 15 + 12 Combine like terms: 15 + 12 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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