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Simplifying 2(x + -3) + -5(2x + 4) = 12 Reorder the terms: 2(-3 + x) + -5(2x + 4) = 12 (-3 * 2 + x * 2) + -5(2x + 4) = 12 (-6 + 2x) + -5(2x + 4) = 12 Reorder the terms: -6 + 2x + -5(4 + 2x) = 12 -6 + 2x + (4 * -5 + 2x * -5) = 12 -6 + 2x + (-20 + -10x) = 12 Reorder the terms: -6 + -20 + 2x + -10x = 12 Combine like terms: -6 + -20 = -26 -26 + 2x + -10x = 12 Combine like terms: 2x + -10x = -8x -26 + -8x = 12 Solving -26 + -8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -8x = 12 + 26 Combine like terms: -26 + 26 = 0 0 + -8x = 12 + 26 -8x = 12 + 26 Combine like terms: 12 + 26 = 38 -8x = 38 Divide each side by '-8'. x = -4.75 Simplifying x = -4.75
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