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Simplifying 8(5x + -1) + -9 = 7(x + 7) Reorder the terms: 8(-1 + 5x) + -9 = 7(x + 7) (-1 * 8 + 5x * 8) + -9 = 7(x + 7) (-8 + 40x) + -9 = 7(x + 7) Reorder the terms: -8 + -9 + 40x = 7(x + 7) Combine like terms: -8 + -9 = -17 -17 + 40x = 7(x + 7) Reorder the terms: -17 + 40x = 7(7 + x) -17 + 40x = (7 * 7 + x * 7) -17 + 40x = (49 + 7x) Solving -17 + 40x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + 40x + -7x = 49 + 7x + -7x Combine like terms: 40x + -7x = 33x -17 + 33x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + 33x = 49 + 0 -17 + 33x = 49 Add '17' to each side of the equation. -17 + 17 + 33x = 49 + 17 Combine like terms: -17 + 17 = 0 0 + 33x = 49 + 17 33x = 49 + 17 Combine like terms: 49 + 17 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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