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Simplifying -13(x + 2) + 5(4x + -7) = 6(x + -5) + 10 Reorder the terms: -13(2 + x) + 5(4x + -7) = 6(x + -5) + 10 (2 * -13 + x * -13) + 5(4x + -7) = 6(x + -5) + 10 (-26 + -13x) + 5(4x + -7) = 6(x + -5) + 10 Reorder the terms: -26 + -13x + 5(-7 + 4x) = 6(x + -5) + 10 -26 + -13x + (-7 * 5 + 4x * 5) = 6(x + -5) + 10 -26 + -13x + (-35 + 20x) = 6(x + -5) + 10 Reorder the terms: -26 + -35 + -13x + 20x = 6(x + -5) + 10 Combine like terms: -26 + -35 = -61 -61 + -13x + 20x = 6(x + -5) + 10 Combine like terms: -13x + 20x = 7x -61 + 7x = 6(x + -5) + 10 Reorder the terms: -61 + 7x = 6(-5 + x) + 10 -61 + 7x = (-5 * 6 + x * 6) + 10 -61 + 7x = (-30 + 6x) + 10 Reorder the terms: -61 + 7x = -30 + 10 + 6x Combine like terms: -30 + 10 = -20 -61 + 7x = -20 + 6x Solving -61 + 7x = -20 + 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. -61 + 7x + -6x = -20 + 6x + -6x Combine like terms: 7x + -6x = 1x -61 + 1x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 -61 + 1x = -20 + 0 -61 + 1x = -20 Add '61' to each side of the equation. -61 + 61 + 1x = -20 + 61 Combine like terms: -61 + 61 = 0 0 + 1x = -20 + 61 1x = -20 + 61 Combine like terms: -20 + 61 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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