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Simplifying 3(5x + -4) + -6(3x + 2) = 15 Reorder the terms: 3(-4 + 5x) + -6(3x + 2) = 15 (-4 * 3 + 5x * 3) + -6(3x + 2) = 15 (-12 + 15x) + -6(3x + 2) = 15 Reorder the terms: -12 + 15x + -6(2 + 3x) = 15 -12 + 15x + (2 * -6 + 3x * -6) = 15 -12 + 15x + (-12 + -18x) = 15 Reorder the terms: -12 + -12 + 15x + -18x = 15 Combine like terms: -12 + -12 = -24 -24 + 15x + -18x = 15 Combine like terms: 15x + -18x = -3x -24 + -3x = 15 Solving -24 + -3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 15 + 24 -3x = 15 + 24 Combine like terms: 15 + 24 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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