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Simplifying 3x + -1(2x + -2) = 4 + 7x Reorder the terms: 3x + -1(-2 + 2x) = 4 + 7x 3x + (-2 * -1 + 2x * -1) = 4 + 7x 3x + (2 + -2x) = 4 + 7x Reorder the terms: 2 + 3x + -2x = 4 + 7x Combine like terms: 3x + -2x = 1x 2 + 1x = 4 + 7x Solving 2 + 1x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 1x + -7x = 4 + 7x + -7x Combine like terms: 1x + -7x = -6x 2 + -6x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -6x = 4 + 0 2 + -6x = 4 Add '-2' to each side of the equation. 2 + -2 + -6x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 4 + -2 -6x = 4 + -2 Combine like terms: 4 + -2 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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