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Simplifying 3(2x + -4) + -1(x + -2) = 15 Reorder the terms: 3(-4 + 2x) + -1(x + -2) = 15 (-4 * 3 + 2x * 3) + -1(x + -2) = 15 (-12 + 6x) + -1(x + -2) = 15 Reorder the terms: -12 + 6x + -1(-2 + x) = 15 -12 + 6x + (-2 * -1 + x * -1) = 15 -12 + 6x + (2 + -1x) = 15 Reorder the terms: -12 + 2 + 6x + -1x = 15 Combine like terms: -12 + 2 = -10 -10 + 6x + -1x = 15 Combine like terms: 6x + -1x = 5x -10 + 5x = 15 Solving -10 + 5x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 15 + 10 5x = 15 + 10 Combine like terms: 15 + 10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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