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Simplifying 3(2x + 4) = 5(2x + 7) Reorder the terms: 3(4 + 2x) = 5(2x + 7) (4 * 3 + 2x * 3) = 5(2x + 7) (12 + 6x) = 5(2x + 7) Reorder the terms: 12 + 6x = 5(7 + 2x) 12 + 6x = (7 * 5 + 2x * 5) 12 + 6x = (35 + 10x) Solving 12 + 6x = 35 + 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 + 6x + -10x = 35 + 10x + -10x Combine like terms: 6x + -10x = -4x 12 + -4x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -4x = 35 + 0 12 + -4x = 35 Add '-12' to each side of the equation. 12 + -12 + -4x = 35 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 35 + -12 -4x = 35 + -12 Combine like terms: 35 + -12 = 23 -4x = 23 Divide each side by '-4'. x = -5.75 Simplifying x = -5.75
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