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Simplifying 2 + 4(1 + -2x) = -5 + x + -9 + x 2 + (1 * 4 + -2x * 4) = -5 + x + -9 + x 2 + (4 + -8x) = -5 + x + -9 + x Combine like terms: 2 + 4 = 6 6 + -8x = -5 + x + -9 + x Reorder the terms: 6 + -8x = -5 + -9 + x + x Combine like terms: -5 + -9 = -14 6 + -8x = -14 + x + x Combine like terms: x + x = 2x 6 + -8x = -14 + 2x Solving 6 + -8x = -14 + 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. 6 + -8x + -2x = -14 + 2x + -2x Combine like terms: -8x + -2x = -10x 6 + -10x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -10x = -14 + 0 6 + -10x = -14 Add '-6' to each side of the equation. 6 + -6 + -10x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -14 + -6 -10x = -14 + -6 Combine like terms: -14 + -6 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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