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Simplifying 7(2 + -2x) + 7x = 6 + -6x (2 * 7 + -2x * 7) + 7x = 6 + -6x (14 + -14x) + 7x = 6 + -6x Combine like terms: -14x + 7x = -7x 14 + -7x = 6 + -6x Solving 14 + -7x = 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 + -7x + 6x = 6 + -6x + 6x Combine like terms: -7x + 6x = -1x 14 + -1x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + -1x = 6 + 0 14 + -1x = 6 Add '-14' to each side of the equation. 14 + -14 + -1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 6 + -14 -1x = 6 + -14 Combine like terms: 6 + -14 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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