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Simplifying 2(5x + -4) + -3(x + 6) = 5(x + -1) + -1x Reorder the terms: 2(-4 + 5x) + -3(x + 6) = 5(x + -1) + -1x (-4 * 2 + 5x * 2) + -3(x + 6) = 5(x + -1) + -1x (-8 + 10x) + -3(x + 6) = 5(x + -1) + -1x Reorder the terms: -8 + 10x + -3(6 + x) = 5(x + -1) + -1x -8 + 10x + (6 * -3 + x * -3) = 5(x + -1) + -1x -8 + 10x + (-18 + -3x) = 5(x + -1) + -1x Reorder the terms: -8 + -18 + 10x + -3x = 5(x + -1) + -1x Combine like terms: -8 + -18 = -26 -26 + 10x + -3x = 5(x + -1) + -1x Combine like terms: 10x + -3x = 7x -26 + 7x = 5(x + -1) + -1x Reorder the terms: -26 + 7x = 5(-1 + x) + -1x -26 + 7x = (-1 * 5 + x * 5) + -1x -26 + 7x = (-5 + 5x) + -1x Combine like terms: 5x + -1x = 4x -26 + 7x = -5 + 4x Solving -26 + 7x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 7x + -4x = -5 + 4x + -4x Combine like terms: 7x + -4x = 3x -26 + 3x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 3x = -5 + 0 -26 + 3x = -5 Add '26' to each side of the equation. -26 + 26 + 3x = -5 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = -5 + 26 3x = -5 + 26 Combine like terms: -5 + 26 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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