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Simplifying 2x + 17 = 8(x + -1) + 1 Reorder the terms: 17 + 2x = 8(x + -1) + 1 Reorder the terms: 17 + 2x = 8(-1 + x) + 1 17 + 2x = (-1 * 8 + x * 8) + 1 17 + 2x = (-8 + 8x) + 1 Reorder the terms: 17 + 2x = -8 + 1 + 8x Combine like terms: -8 + 1 = -7 17 + 2x = -7 + 8x Solving 17 + 2x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 17 + 2x + -8x = -7 + 8x + -8x Combine like terms: 2x + -8x = -6x 17 + -6x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -6x = -7 + 0 17 + -6x = -7 Add '-17' to each side of the equation. 17 + -17 + -6x = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = -7 + -17 -6x = -7 + -17 Combine like terms: -7 + -17 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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