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Simplifying 2(1 + -12x) + 2x = 2(1 + 4x) (1 * 2 + -12x * 2) + 2x = 2(1 + 4x) (2 + -24x) + 2x = 2(1 + 4x) Combine like terms: -24x + 2x = -22x 2 + -22x = 2(1 + 4x) 2 + -22x = (1 * 2 + 4x * 2) 2 + -22x = (2 + 8x) Add '-2' to each side of the equation. 2 + -2 + -22x = 2 + -2 + 8x Combine like terms: 2 + -2 = 0 0 + -22x = 2 + -2 + 8x -22x = 2 + -2 + 8x Combine like terms: 2 + -2 = 0 -22x = 0 + 8x -22x = 8x Solving -22x = 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. -22x + -8x = 8x + -8x Combine like terms: -22x + -8x = -30x -30x = 8x + -8x Combine like terms: 8x + -8x = 0 -30x = 0 Divide each side by '-30'. x = 0.0 Simplifying x = 0.0
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