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Simplifying 2(-4x) + -2x + 1 = x + -21 Remove parenthesis around (-4x) 2 * -4x + -2x + 1 = x + -21 Multiply 2 * -4 -8x + -2x + 1 = x + -21 Reorder the terms: 1 + -8x + -2x = x + -21 Combine like terms: -8x + -2x = -10x 1 + -10x = x + -21 Reorder the terms: 1 + -10x = -21 + x Solving 1 + -10x = -21 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -10x + -1x = -21 + x + -1x Combine like terms: -10x + -1x = -11x 1 + -11x = -21 + x + -1x Combine like terms: x + -1x = 0 1 + -11x = -21 + 0 1 + -11x = -21 Add '-1' to each side of the equation. 1 + -1 + -11x = -21 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -21 + -1 -11x = -21 + -1 Combine like terms: -21 + -1 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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