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Simplifying 3 + -1(4x + 2) = x + 11 Reorder the terms: 3 + -1(2 + 4x) = x + 11 3 + (2 * -1 + 4x * -1) = x + 11 3 + (-2 + -4x) = x + 11 Combine like terms: 3 + -2 = 1 1 + -4x = x + 11 Reorder the terms: 1 + -4x = 11 + x Solving 1 + -4x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -4x + -1x = 11 + x + -1x Combine like terms: -4x + -1x = -5x 1 + -5x = 11 + x + -1x Combine like terms: x + -1x = 0 1 + -5x = 11 + 0 1 + -5x = 11 Add '-1' to each side of the equation. 1 + -1 + -5x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 11 + -1 -5x = 11 + -1 Combine like terms: 11 + -1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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