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