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Simplifying 1 + -10(x + 11) = -2(8 + -1x) Reorder the terms: 1 + -10(11 + x) = -2(8 + -1x) 1 + (11 * -10 + x * -10) = -2(8 + -1x) 1 + (-110 + -10x) = -2(8 + -1x) Combine like terms: 1 + -110 = -109 -109 + -10x = -2(8 + -1x) -109 + -10x = (8 * -2 + -1x * -2) -109 + -10x = (-16 + 2x) Solving -109 + -10x = -16 + 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. -109 + -10x + -2x = -16 + 2x + -2x Combine like terms: -10x + -2x = -12x -109 + -12x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -109 + -12x = -16 + 0 -109 + -12x = -16 Add '109' to each side of the equation. -109 + 109 + -12x = -16 + 109 Combine like terms: -109 + 109 = 0 0 + -12x = -16 + 109 -12x = -16 + 109 Combine like terms: -16 + 109 = 93 -12x = 93 Divide each side by '-12'. x = -7.75 Simplifying x = -7.75
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