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Simplifying 2(-2x + 1) + (-1x) = 2(-1x) + 17 Reorder the terms: 2(1 + -2x) + (-1x) = 2(-1x) + 17 (1 * 2 + -2x * 2) + (-1x) = 2(-1x) + 17 (2 + -4x) + (-1x) = 2(-1x) + 17 Combine like terms: -4x + (-1x) = -5x 2 + -5x = 2(-1x) + 17 Remove parenthesis around (-1x) 2 + -5x = 2 * -1x + 17 Multiply 2 * -1 2 + -5x = -2x + 17 Reorder the terms: 2 + -5x = 17 + -2x Solving 2 + -5x = 17 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + -5x + 2x = 17 + -2x + 2x Combine like terms: -5x + 2x = -3x 2 + -3x = 17 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + -3x = 17 + 0 2 + -3x = 17 Add '-2' to each side of the equation. 2 + -2 + -3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 17 + -2 -3x = 17 + -2 Combine like terms: 17 + -2 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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