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Simplifying 3(2x + -4) + -2(5x + 3) = 12 Reorder the terms: 3(-4 + 2x) + -2(5x + 3) = 12 (-4 * 3 + 2x * 3) + -2(5x + 3) = 12 (-12 + 6x) + -2(5x + 3) = 12 Reorder the terms: -12 + 6x + -2(3 + 5x) = 12 -12 + 6x + (3 * -2 + 5x * -2) = 12 -12 + 6x + (-6 + -10x) = 12 Reorder the terms: -12 + -6 + 6x + -10x = 12 Combine like terms: -12 + -6 = -18 -18 + 6x + -10x = 12 Combine like terms: 6x + -10x = -4x -18 + -4x = 12 Solving -18 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -4x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 12 + 18 -4x = 12 + 18 Combine like terms: 12 + 18 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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