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Simplifying 3(4 + -1x) = 2(x + 11) (4 * 3 + -1x * 3) = 2(x + 11) (12 + -3x) = 2(x + 11) Reorder the terms: 12 + -3x = 2(11 + x) 12 + -3x = (11 * 2 + x * 2) 12 + -3x = (22 + 2x) Solving 12 + -3x = 22 + 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. 12 + -3x + -2x = 22 + 2x + -2x Combine like terms: -3x + -2x = -5x 12 + -5x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -5x = 22 + 0 12 + -5x = 22 Add '-12' to each side of the equation. 12 + -12 + -5x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 22 + -12 -5x = 22 + -12 Combine like terms: 22 + -12 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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