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Simplifying 7x + 6 = 6 + 7(8 + 2x) Reorder the terms: 6 + 7x = 6 + 7(8 + 2x) 6 + 7x = 6 + (8 * 7 + 2x * 7) 6 + 7x = 6 + (56 + 14x) Combine like terms: 6 + 56 = 62 6 + 7x = 62 + 14x Solving 6 + 7x = 62 + 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. 6 + 7x + -14x = 62 + 14x + -14x Combine like terms: 7x + -14x = -7x 6 + -7x = 62 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -7x = 62 + 0 6 + -7x = 62 Add '-6' to each side of the equation. 6 + -6 + -7x = 62 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 62 + -6 -7x = 62 + -6 Combine like terms: 62 + -6 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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