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Simplifying 3 + -1(2x + -2) = 4x + 6 Reorder the terms: 3 + -1(-2 + 2x) = 4x + 6 3 + (-2 * -1 + 2x * -1) = 4x + 6 3 + (2 + -2x) = 4x + 6 Combine like terms: 3 + 2 = 5 5 + -2x = 4x + 6 Reorder the terms: 5 + -2x = 6 + 4x Solving 5 + -2x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -2x + -4x = 6 + 4x + -4x Combine like terms: -2x + -4x = -6x 5 + -6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -6x = 6 + 0 5 + -6x = 6 Add '-5' to each side of the equation. 5 + -5 + -6x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 6 + -5 -6x = 6 + -5 Combine like terms: 6 + -5 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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