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Simplifying 6(5x + -1) + -13(2x + 5) = 2(7 + -2x) Reorder the terms: 6(-1 + 5x) + -13(2x + 5) = 2(7 + -2x) (-1 * 6 + 5x * 6) + -13(2x + 5) = 2(7 + -2x) (-6 + 30x) + -13(2x + 5) = 2(7 + -2x) Reorder the terms: -6 + 30x + -13(5 + 2x) = 2(7 + -2x) -6 + 30x + (5 * -13 + 2x * -13) = 2(7 + -2x) -6 + 30x + (-65 + -26x) = 2(7 + -2x) Reorder the terms: -6 + -65 + 30x + -26x = 2(7 + -2x) Combine like terms: -6 + -65 = -71 -71 + 30x + -26x = 2(7 + -2x) Combine like terms: 30x + -26x = 4x -71 + 4x = 2(7 + -2x) -71 + 4x = (7 * 2 + -2x * 2) -71 + 4x = (14 + -4x) Solving -71 + 4x = 14 + -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. -71 + 4x + 4x = 14 + -4x + 4x Combine like terms: 4x + 4x = 8x -71 + 8x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -71 + 8x = 14 + 0 -71 + 8x = 14 Add '71' to each side of the equation. -71 + 71 + 8x = 14 + 71 Combine like terms: -71 + 71 = 0 0 + 8x = 14 + 71 8x = 14 + 71 Combine like terms: 14 + 71 = 85 8x = 85 Divide each side by '8'. x = 10.625 Simplifying x = 10.625
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