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Simplifying 126 = 6x + 7(2x + -2) Reorder the terms: 126 = 6x + 7(-2 + 2x) 126 = 6x + (-2 * 7 + 2x * 7) 126 = 6x + (-14 + 14x) Reorder the terms: 126 = -14 + 6x + 14x Combine like terms: 6x + 14x = 20x 126 = -14 + 20x Solving 126 = -14 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 126 + -20x = -14 + 20x + -20x Combine like terms: 20x + -20x = 0 126 + -20x = -14 + 0 126 + -20x = -14 Add '-126' to each side of the equation. 126 + -126 + -20x = -14 + -126 Combine like terms: 126 + -126 = 0 0 + -20x = -14 + -126 -20x = -14 + -126 Combine like terms: -14 + -126 = -140 -20x = -140 Divide each side by '-20'. x = 7 Simplifying x = 7
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