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Simplifying 2(2x + 3) = 6(6x + 5) + 5 Reorder the terms: 2(3 + 2x) = 6(6x + 5) + 5 (3 * 2 + 2x * 2) = 6(6x + 5) + 5 (6 + 4x) = 6(6x + 5) + 5 Reorder the terms: 6 + 4x = 6(5 + 6x) + 5 6 + 4x = (5 * 6 + 6x * 6) + 5 6 + 4x = (30 + 36x) + 5 Reorder the terms: 6 + 4x = 30 + 5 + 36x Combine like terms: 30 + 5 = 35 6 + 4x = 35 + 36x Solving 6 + 4x = 35 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 6 + 4x + -36x = 35 + 36x + -36x Combine like terms: 4x + -36x = -32x 6 + -32x = 35 + 36x + -36x Combine like terms: 36x + -36x = 0 6 + -32x = 35 + 0 6 + -32x = 35 Add '-6' to each side of the equation. 6 + -6 + -32x = 35 + -6 Combine like terms: 6 + -6 = 0 0 + -32x = 35 + -6 -32x = 35 + -6 Combine like terms: 35 + -6 = 29 -32x = 29 Divide each side by '-32'. x = -0.90625 Simplifying x = -0.90625
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