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Simplifying 7(2x + 2) = 2(4x + -2) Reorder the terms: 7(2 + 2x) = 2(4x + -2) (2 * 7 + 2x * 7) = 2(4x + -2) (14 + 14x) = 2(4x + -2) Reorder the terms: 14 + 14x = 2(-2 + 4x) 14 + 14x = (-2 * 2 + 4x * 2) 14 + 14x = (-4 + 8x) Solving 14 + 14x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 14x + -8x = -4 + 8x + -8x Combine like terms: 14x + -8x = 6x 14 + 6x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 6x = -4 + 0 14 + 6x = -4 Add '-14' to each side of the equation. 14 + -14 + 6x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = -4 + -14 6x = -4 + -14 Combine like terms: -4 + -14 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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