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Simplifying 5(8x + -1) = 7(2x + 9) Reorder the terms: 5(-1 + 8x) = 7(2x + 9) (-1 * 5 + 8x * 5) = 7(2x + 9) (-5 + 40x) = 7(2x + 9) Reorder the terms: -5 + 40x = 7(9 + 2x) -5 + 40x = (9 * 7 + 2x * 7) -5 + 40x = (63 + 14x) Solving -5 + 40x = 63 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -5 + 40x + -14x = 63 + 14x + -14x Combine like terms: 40x + -14x = 26x -5 + 26x = 63 + 14x + -14x Combine like terms: 14x + -14x = 0 -5 + 26x = 63 + 0 -5 + 26x = 63 Add '5' to each side of the equation. -5 + 5 + 26x = 63 + 5 Combine like terms: -5 + 5 = 0 0 + 26x = 63 + 5 26x = 63 + 5 Combine like terms: 63 + 5 = 68 26x = 68 Divide each side by '26'. x = 2.615384615 Simplifying x = 2.615384615
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