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Simplifying 3(2 + -1x) + 5(2x + -4) = 12x + -6 (2 * 3 + -1x * 3) + 5(2x + -4) = 12x + -6 (6 + -3x) + 5(2x + -4) = 12x + -6 Reorder the terms: 6 + -3x + 5(-4 + 2x) = 12x + -6 6 + -3x + (-4 * 5 + 2x * 5) = 12x + -6 6 + -3x + (-20 + 10x) = 12x + -6 Reorder the terms: 6 + -20 + -3x + 10x = 12x + -6 Combine like terms: 6 + -20 = -14 -14 + -3x + 10x = 12x + -6 Combine like terms: -3x + 10x = 7x -14 + 7x = 12x + -6 Reorder the terms: -14 + 7x = -6 + 12x Solving -14 + 7x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 7x + -12x = -6 + 12x + -12x Combine like terms: 7x + -12x = -5x -14 + -5x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -5x = -6 + 0 -14 + -5x = -6 Add '14' to each side of the equation. -14 + 14 + -5x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = -6 + 14 -5x = -6 + 14 Combine like terms: -6 + 14 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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