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Simplifying 17 + 2(1 + -1x) = 5 + -2(3 + -4x) 17 + (1 * 2 + -1x * 2) = 5 + -2(3 + -4x) 17 + (2 + -2x) = 5 + -2(3 + -4x) Combine like terms: 17 + 2 = 19 19 + -2x = 5 + -2(3 + -4x) 19 + -2x = 5 + (3 * -2 + -4x * -2) 19 + -2x = 5 + (-6 + 8x) Combine like terms: 5 + -6 = -1 19 + -2x = -1 + 8x Solving 19 + -2x = -1 + 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. 19 + -2x + -8x = -1 + 8x + -8x Combine like terms: -2x + -8x = -10x 19 + -10x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -10x = -1 + 0 19 + -10x = -1 Add '-19' to each side of the equation. 19 + -19 + -10x = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = -1 + -19 -10x = -1 + -19 Combine like terms: -1 + -19 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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