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Simplifying 7(2x + 1) + -1(8x + -1) = 68x Reorder the terms: 7(1 + 2x) + -1(8x + -1) = 68x (1 * 7 + 2x * 7) + -1(8x + -1) = 68x (7 + 14x) + -1(8x + -1) = 68x Reorder the terms: 7 + 14x + -1(-1 + 8x) = 68x 7 + 14x + (-1 * -1 + 8x * -1) = 68x 7 + 14x + (1 + -8x) = 68x Reorder the terms: 7 + 1 + 14x + -8x = 68x Combine like terms: 7 + 1 = 8 8 + 14x + -8x = 68x Combine like terms: 14x + -8x = 6x 8 + 6x = 68x Solving 8 + 6x = 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. 8 + 6x + -68x = 68x + -68x Combine like terms: 6x + -68x = -62x 8 + -62x = 68x + -68x Combine like terms: 68x + -68x = 0 8 + -62x = 0 Add '-8' to each side of the equation. 8 + -8 + -62x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -62x = 0 + -8 -62x = 0 + -8 Combine like terms: 0 + -8 = -8 -62x = -8 Divide each side by '-62'. x = 0.1290322581 Simplifying x = 0.1290322581
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