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Simplifying 2(2(-1x) + 1) + (-1x) = (-1x) + 2(-1x) + 18 Remove parenthesis around (-1x) 2(2 * -1x + 1) + (-1x) = (-1x) + 2(-1x) + 18 Multiply 2 * -1 2(-2x + 1) + (-1x) = (-1x) + 2(-1x) + 18 Reorder the terms: 2(1 + -2x) + (-1x) = (-1x) + 2(-1x) + 18 (1 * 2 + -2x * 2) + (-1x) = (-1x) + 2(-1x) + 18 (2 + -4x) + (-1x) = (-1x) + 2(-1x) + 18 Combine like terms: -4x + (-1x) = -5x 2 + -5x = (-1x) + 2(-1x) + 18 Remove parenthesis around (-1x) 2 + -5x = (-1x) + 2 * -1x + 18 Multiply 2 * -1 2 + -5x = (-1x) + -2x + 18 Reorder the terms: 2 + -5x = 18 + (-1x) + -2x Combine like terms: (-1x) + -2x = -3x 2 + -5x = 18 + -3x Solving 2 + -5x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -5x + 3x = 18 + -3x + 3x Combine like terms: -5x + 3x = -2x 2 + -2x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -2x = 18 + 0 2 + -2x = 18 Add '-2' to each side of the equation. 2 + -2 + -2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 18 + -2 -2x = 18 + -2 Combine like terms: 18 + -2 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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