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Simplifying 6x + 5(6x + 5) = 4x + 29 Reorder the terms: 6x + 5(5 + 6x) = 4x + 29 6x + (5 * 5 + 6x * 5) = 4x + 29 6x + (25 + 30x) = 4x + 29 Reorder the terms: 25 + 6x + 30x = 4x + 29 Combine like terms: 6x + 30x = 36x 25 + 36x = 4x + 29 Reorder the terms: 25 + 36x = 29 + 4x Solving 25 + 36x = 29 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + 36x + -4x = 29 + 4x + -4x Combine like terms: 36x + -4x = 32x 25 + 32x = 29 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + 32x = 29 + 0 25 + 32x = 29 Add '-25' to each side of the equation. 25 + -25 + 32x = 29 + -25 Combine like terms: 25 + -25 = 0 0 + 32x = 29 + -25 32x = 29 + -25 Combine like terms: 29 + -25 = 4 32x = 4 Divide each side by '32'. x = 0.125 Simplifying x = 0.125
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