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Simplifying 11 + -10(x + 1) = -2(4 + -1x) Reorder the terms: 11 + -10(1 + x) = -2(4 + -1x) 11 + (1 * -10 + x * -10) = -2(4 + -1x) 11 + (-10 + -10x) = -2(4 + -1x) Combine like terms: 11 + -10 = 1 1 + -10x = -2(4 + -1x) 1 + -10x = (4 * -2 + -1x * -2) 1 + -10x = (-8 + 2x) Solving 1 + -10x = -8 + 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. 1 + -10x + -2x = -8 + 2x + -2x Combine like terms: -10x + -2x = -12x 1 + -12x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -12x = -8 + 0 1 + -12x = -8 Add '-1' to each side of the equation. 1 + -1 + -12x = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -8 + -1 -12x = -8 + -1 Combine like terms: -8 + -1 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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