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Simplifying 2x + -4(2x + -2) + 7x = 7 Reorder the terms: 2x + -4(-2 + 2x) + 7x = 7 2x + (-2 * -4 + 2x * -4) + 7x = 7 2x + (8 + -8x) + 7x = 7 Reorder the terms: 8 + 2x + -8x + 7x = 7 Combine like terms: 2x + -8x = -6x 8 + -6x + 7x = 7 Combine like terms: -6x + 7x = 1x 8 + 1x = 7 Solving 8 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 7 + -8 1x = 7 + -8 Combine like terms: 7 + -8 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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