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Simplifying 5(7x + 6) = x + 6 Reorder the terms: 5(6 + 7x) = x + 6 (6 * 5 + 7x * 5) = x + 6 (30 + 35x) = x + 6 Reorder the terms: 30 + 35x = 6 + x Solving 30 + 35x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 35x + -1x = 6 + x + -1x Combine like terms: 35x + -1x = 34x 30 + 34x = 6 + x + -1x Combine like terms: x + -1x = 0 30 + 34x = 6 + 0 30 + 34x = 6 Add '-30' to each side of the equation. 30 + -30 + 34x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 34x = 6 + -30 34x = 6 + -30 Combine like terms: 6 + -30 = -24 34x = -24 Divide each side by '34'. x = -0.7058823529 Simplifying x = -0.7058823529
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