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Simplifying 3(x + 1) = -1(x + -11) Reorder the terms: 3(1 + x) = -1(x + -11) (1 * 3 + x * 3) = -1(x + -11) (3 + 3x) = -1(x + -11) Reorder the terms: 3 + 3x = -1(-11 + x) 3 + 3x = (-11 * -1 + x * -1) 3 + 3x = (11 + -1x) Solving 3 + 3x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 3x + x = 11 + -1x + x Combine like terms: 3x + x = 4x 3 + 4x = 11 + -1x + x Combine like terms: -1x + x = 0 3 + 4x = 11 + 0 3 + 4x = 11 Add '-3' to each side of the equation. 3 + -3 + 4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 11 + -3 4x = 11 + -3 Combine like terms: 11 + -3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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