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Simplifying -2x + 17 = -6(x + 1) + -5 Reorder the terms: 17 + -2x = -6(x + 1) + -5 Reorder the terms: 17 + -2x = -6(1 + x) + -5 17 + -2x = (1 * -6 + x * -6) + -5 17 + -2x = (-6 + -6x) + -5 Reorder the terms: 17 + -2x = -6 + -5 + -6x Combine like terms: -6 + -5 = -11 17 + -2x = -11 + -6x Solving 17 + -2x = -11 + -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. 17 + -2x + 6x = -11 + -6x + 6x Combine like terms: -2x + 6x = 4x 17 + 4x = -11 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 4x = -11 + 0 17 + 4x = -11 Add '-17' to each side of the equation. 17 + -17 + 4x = -11 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -11 + -17 4x = -11 + -17 Combine like terms: -11 + -17 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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