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Simplifying 7(5x + 8) + 2(5x + -1) = -1x + 7(x + -9) Reorder the terms: 7(8 + 5x) + 2(5x + -1) = -1x + 7(x + -9) (8 * 7 + 5x * 7) + 2(5x + -1) = -1x + 7(x + -9) (56 + 35x) + 2(5x + -1) = -1x + 7(x + -9) Reorder the terms: 56 + 35x + 2(-1 + 5x) = -1x + 7(x + -9) 56 + 35x + (-1 * 2 + 5x * 2) = -1x + 7(x + -9) 56 + 35x + (-2 + 10x) = -1x + 7(x + -9) Reorder the terms: 56 + -2 + 35x + 10x = -1x + 7(x + -9) Combine like terms: 56 + -2 = 54 54 + 35x + 10x = -1x + 7(x + -9) Combine like terms: 35x + 10x = 45x 54 + 45x = -1x + 7(x + -9) Reorder the terms: 54 + 45x = -1x + 7(-9 + x) 54 + 45x = -1x + (-9 * 7 + x * 7) 54 + 45x = -1x + (-63 + 7x) Reorder the terms: 54 + 45x = -63 + -1x + 7x Combine like terms: -1x + 7x = 6x 54 + 45x = -63 + 6x Solving 54 + 45x = -63 + 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. 54 + 45x + -6x = -63 + 6x + -6x Combine like terms: 45x + -6x = 39x 54 + 39x = -63 + 6x + -6x Combine like terms: 6x + -6x = 0 54 + 39x = -63 + 0 54 + 39x = -63 Add '-54' to each side of the equation. 54 + -54 + 39x = -63 + -54 Combine like terms: 54 + -54 = 0 0 + 39x = -63 + -54 39x = -63 + -54 Combine like terms: -63 + -54 = -117 39x = -117 Divide each side by '39'. x = -3 Simplifying x = -3
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