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Simplifying -13(x + 2) + 5(4x + -4) = 6(x + -6) + 10 Reorder the terms: -13(2 + x) + 5(4x + -4) = 6(x + -6) + 10 (2 * -13 + x * -13) + 5(4x + -4) = 6(x + -6) + 10 (-26 + -13x) + 5(4x + -4) = 6(x + -6) + 10 Reorder the terms: -26 + -13x + 5(-4 + 4x) = 6(x + -6) + 10 -26 + -13x + (-4 * 5 + 4x * 5) = 6(x + -6) + 10 -26 + -13x + (-20 + 20x) = 6(x + -6) + 10 Reorder the terms: -26 + -20 + -13x + 20x = 6(x + -6) + 10 Combine like terms: -26 + -20 = -46 -46 + -13x + 20x = 6(x + -6) + 10 Combine like terms: -13x + 20x = 7x -46 + 7x = 6(x + -6) + 10 Reorder the terms: -46 + 7x = 6(-6 + x) + 10 -46 + 7x = (-6 * 6 + x * 6) + 10 -46 + 7x = (-36 + 6x) + 10 Reorder the terms: -46 + 7x = -36 + 10 + 6x Combine like terms: -36 + 10 = -26 -46 + 7x = -26 + 6x Solving -46 + 7x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + 7x + -6x = -26 + 6x + -6x Combine like terms: 7x + -6x = 1x -46 + 1x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 1x = -26 + 0 -46 + 1x = -26 Add '46' to each side of the equation. -46 + 46 + 1x = -26 + 46 Combine like terms: -46 + 46 = 0 0 + 1x = -26 + 46 1x = -26 + 46 Combine like terms: -26 + 46 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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