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Simplifying 1 = 5x + -1(-1x + 17) Reorder the terms: 1 = 5x + -1(17 + -1x) 1 = 5x + (17 * -1 + -1x * -1) 1 = 5x + (-17 + 1x) Reorder the terms: 1 = -17 + 5x + 1x Combine like terms: 5x + 1x = 6x 1 = -17 + 6x Solving 1 = -17 + 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. 1 + -6x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -6x = -17 + 0 1 + -6x = -17 Add '-1' to each side of the equation. 1 + -1 + -6x = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -17 + -1 -6x = -17 + -1 Combine like terms: -17 + -1 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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