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Simplifying 3(2x + -5) + -2(3 + -4x) + 5(x + -1) = 12 Reorder the terms: 3(-5 + 2x) + -2(3 + -4x) + 5(x + -1) = 12 (-5 * 3 + 2x * 3) + -2(3 + -4x) + 5(x + -1) = 12 (-15 + 6x) + -2(3 + -4x) + 5(x + -1) = 12 -15 + 6x + (3 * -2 + -4x * -2) + 5(x + -1) = 12 -15 + 6x + (-6 + 8x) + 5(x + -1) = 12 Reorder the terms: -15 + 6x + -6 + 8x + 5(-1 + x) = 12 -15 + 6x + -6 + 8x + (-1 * 5 + x * 5) = 12 -15 + 6x + -6 + 8x + (-5 + 5x) = 12 Reorder the terms: -15 + -6 + -5 + 6x + 8x + 5x = 12 Combine like terms: -15 + -6 = -21 -21 + -5 + 6x + 8x + 5x = 12 Combine like terms: -21 + -5 = -26 -26 + 6x + 8x + 5x = 12 Combine like terms: 6x + 8x = 14x -26 + 14x + 5x = 12 Combine like terms: 14x + 5x = 19x -26 + 19x = 12 Solving -26 + 19x = 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 + 19x = 12 + 26 Combine like terms: -26 + 26 = 0 0 + 19x = 12 + 26 19x = 12 + 26 Combine like terms: 12 + 26 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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