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Simplifying 6(3x + 5) = (8x + 6) Reorder the terms: 6(5 + 3x) = (8x + 6) (5 * 6 + 3x * 6) = (8x + 6) (30 + 18x) = (8x + 6) Reorder the terms: 30 + 18x = (6 + 8x) Remove parenthesis around (6 + 8x) 30 + 18x = 6 + 8x Solving 30 + 18x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 18x + -8x = 6 + 8x + -8x Combine like terms: 18x + -8x = 10x 30 + 10x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 10x = 6 + 0 30 + 10x = 6 Add '-30' to each side of the equation. 30 + -30 + 10x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 6 + -30 10x = 6 + -30 Combine like terms: 6 + -30 = -24 10x = -24 Divide each side by '10'. x = -2.4 Simplifying x = -2.4
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