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Simplifying 6(6x + 5) + -2x = 8(4x + 3) Reorder the terms: 6(5 + 6x) + -2x = 8(4x + 3) (5 * 6 + 6x * 6) + -2x = 8(4x + 3) (30 + 36x) + -2x = 8(4x + 3) Combine like terms: 36x + -2x = 34x 30 + 34x = 8(4x + 3) Reorder the terms: 30 + 34x = 8(3 + 4x) 30 + 34x = (3 * 8 + 4x * 8) 30 + 34x = (24 + 32x) Solving 30 + 34x = 24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 30 + 34x + -32x = 24 + 32x + -32x Combine like terms: 34x + -32x = 2x 30 + 2x = 24 + 32x + -32x Combine like terms: 32x + -32x = 0 30 + 2x = 24 + 0 30 + 2x = 24 Add '-30' to each side of the equation. 30 + -30 + 2x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 24 + -30 2x = 24 + -30 Combine like terms: 24 + -30 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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