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Simplifying -1(x + -26) = x + -4(1 + -2x) Reorder the terms: -1(-26 + x) = x + -4(1 + -2x) (-26 * -1 + x * -1) = x + -4(1 + -2x) (26 + -1x) = x + -4(1 + -2x) 26 + -1x = x + (1 * -4 + -2x * -4) 26 + -1x = x + (-4 + 8x) Reorder the terms: 26 + -1x = -4 + x + 8x Combine like terms: x + 8x = 9x 26 + -1x = -4 + 9x Solving 26 + -1x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 26 + -1x + -9x = -4 + 9x + -9x Combine like terms: -1x + -9x = -10x 26 + -10x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 26 + -10x = -4 + 0 26 + -10x = -4 Add '-26' to each side of the equation. 26 + -26 + -10x = -4 + -26 Combine like terms: 26 + -26 = 0 0 + -10x = -4 + -26 -10x = -4 + -26 Combine like terms: -4 + -26 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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