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Simplifying 6x + 29 = 5(1 + 6x) Reorder the terms: 29 + 6x = 5(1 + 6x) 29 + 6x = (1 * 5 + 6x * 5) 29 + 6x = (5 + 30x) Solving 29 + 6x = 5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 29 + 6x + -30x = 5 + 30x + -30x Combine like terms: 6x + -30x = -24x 29 + -24x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 29 + -24x = 5 + 0 29 + -24x = 5 Add '-29' to each side of the equation. 29 + -29 + -24x = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -24x = 5 + -29 -24x = 5 + -29 Combine like terms: 5 + -29 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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