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Simplifying 2(5x + 4) = 3(6x + 2) Reorder the terms: 2(4 + 5x) = 3(6x + 2) (4 * 2 + 5x * 2) = 3(6x + 2) (8 + 10x) = 3(6x + 2) Reorder the terms: 8 + 10x = 3(2 + 6x) 8 + 10x = (2 * 3 + 6x * 3) 8 + 10x = (6 + 18x) Solving 8 + 10x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 8 + 10x + -18x = 6 + 18x + -18x Combine like terms: 10x + -18x = -8x 8 + -8x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + -8x = 6 + 0 8 + -8x = 6 Add '-8' to each side of the equation. 8 + -8 + -8x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 6 + -8 -8x = 6 + -8 Combine like terms: 6 + -8 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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