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Simplifying 6(3x + 2) = 5(2x + 8) Reorder the terms: 6(2 + 3x) = 5(2x + 8) (2 * 6 + 3x * 6) = 5(2x + 8) (12 + 18x) = 5(2x + 8) Reorder the terms: 12 + 18x = 5(8 + 2x) 12 + 18x = (8 * 5 + 2x * 5) 12 + 18x = (40 + 10x) Solving 12 + 18x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 18x + -10x = 40 + 10x + -10x Combine like terms: 18x + -10x = 8x 12 + 8x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 8x = 40 + 0 12 + 8x = 40 Add '-12' to each side of the equation. 12 + -12 + 8x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 40 + -12 8x = 40 + -12 Combine like terms: 40 + -12 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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