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Simplifying 6x + 29 + -1 = 7(5x + 3) Reorder the terms: 29 + -1 + 6x = 7(5x + 3) Combine like terms: 29 + -1 = 28 28 + 6x = 7(5x + 3) Reorder the terms: 28 + 6x = 7(3 + 5x) 28 + 6x = (3 * 7 + 5x * 7) 28 + 6x = (21 + 35x) Solving 28 + 6x = 21 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 28 + 6x + -35x = 21 + 35x + -35x Combine like terms: 6x + -35x = -29x 28 + -29x = 21 + 35x + -35x Combine like terms: 35x + -35x = 0 28 + -29x = 21 + 0 28 + -29x = 21 Add '-28' to each side of the equation. 28 + -28 + -29x = 21 + -28 Combine like terms: 28 + -28 = 0 0 + -29x = 21 + -28 -29x = 21 + -28 Combine like terms: 21 + -28 = -7 -29x = -7 Divide each side by '-29'. x = 0.2413793103 Simplifying x = 0.2413793103
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