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Simplifying 1 = 5x + -2(-1x + 17) Reorder the terms: 1 = 5x + -2(17 + -1x) 1 = 5x + (17 * -2 + -1x * -2) 1 = 5x + (-34 + 2x) Reorder the terms: 1 = -34 + 5x + 2x Combine like terms: 5x + 2x = 7x 1 = -34 + 7x Solving 1 = -34 + 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. 1 + -7x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -7x = -34 + 0 1 + -7x = -34 Add '-1' to each side of the equation. 1 + -1 + -7x = -34 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -34 + -1 -7x = -34 + -1 Combine like terms: -34 + -1 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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