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Simplifying 5(2x + 4) = 6(3x + 2) Reorder the terms: 5(4 + 2x) = 6(3x + 2) (4 * 5 + 2x * 5) = 6(3x + 2) (20 + 10x) = 6(3x + 2) Reorder the terms: 20 + 10x = 6(2 + 3x) 20 + 10x = (2 * 6 + 3x * 6) 20 + 10x = (12 + 18x) Solving 20 + 10x = 12 + 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. 20 + 10x + -18x = 12 + 18x + -18x Combine like terms: 10x + -18x = -8x 20 + -8x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -8x = 12 + 0 20 + -8x = 12 Add '-20' to each side of the equation. 20 + -20 + -8x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 12 + -20 -8x = 12 + -20 Combine like terms: 12 + -20 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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