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Simplifying 17 + -1(4x + -5) = 6x + 2(x + 1) Reorder the terms: 17 + -1(-5 + 4x) = 6x + 2(x + 1) 17 + (-5 * -1 + 4x * -1) = 6x + 2(x + 1) 17 + (5 + -4x) = 6x + 2(x + 1) Combine like terms: 17 + 5 = 22 22 + -4x = 6x + 2(x + 1) Reorder the terms: 22 + -4x = 6x + 2(1 + x) 22 + -4x = 6x + (1 * 2 + x * 2) 22 + -4x = 6x + (2 + 2x) Reorder the terms: 22 + -4x = 2 + 6x + 2x Combine like terms: 6x + 2x = 8x 22 + -4x = 2 + 8x Solving 22 + -4x = 2 + 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. 22 + -4x + -8x = 2 + 8x + -8x Combine like terms: -4x + -8x = -12x 22 + -12x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -12x = 2 + 0 22 + -12x = 2 Add '-22' to each side of the equation. 22 + -22 + -12x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = 2 + -22 -12x = 2 + -22 Combine like terms: 2 + -22 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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