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Simplifying 2(2x + 5) = 3(4x + 6) Reorder the terms: 2(5 + 2x) = 3(4x + 6) (5 * 2 + 2x * 2) = 3(4x + 6) (10 + 4x) = 3(4x + 6) Reorder the terms: 10 + 4x = 3(6 + 4x) 10 + 4x = (6 * 3 + 4x * 3) 10 + 4x = (18 + 12x) Solving 10 + 4x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 4x + -12x = 18 + 12x + -12x Combine like terms: 4x + -12x = -8x 10 + -8x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -8x = 18 + 0 10 + -8x = 18 Add '-10' to each side of the equation. 10 + -10 + -8x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 18 + -10 -8x = 18 + -10 Combine like terms: 18 + -10 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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