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Simplifying 3x + -7(2x + -2) = 3(-2x + 2) Reorder the terms: 3x + -7(-2 + 2x) = 3(-2x + 2) 3x + (-2 * -7 + 2x * -7) = 3(-2x + 2) 3x + (14 + -14x) = 3(-2x + 2) Reorder the terms: 14 + 3x + -14x = 3(-2x + 2) Combine like terms: 3x + -14x = -11x 14 + -11x = 3(-2x + 2) Reorder the terms: 14 + -11x = 3(2 + -2x) 14 + -11x = (2 * 3 + -2x * 3) 14 + -11x = (6 + -6x) Solving 14 + -11x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + -11x + 6x = 6 + -6x + 6x Combine like terms: -11x + 6x = -5x 14 + -5x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + -5x = 6 + 0 14 + -5x = 6 Add '-14' to each side of the equation. 14 + -14 + -5x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 6 + -14 -5x = 6 + -14 Combine like terms: 6 + -14 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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