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Simplifying 3 + 5(2x + -4) = 6(2 + x) Reorder the terms: 3 + 5(-4 + 2x) = 6(2 + x) 3 + (-4 * 5 + 2x * 5) = 6(2 + x) 3 + (-20 + 10x) = 6(2 + x) Combine like terms: 3 + -20 = -17 -17 + 10x = 6(2 + x) -17 + 10x = (2 * 6 + x * 6) -17 + 10x = (12 + 6x) Solving -17 + 10x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -17 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 4x = 12 + 0 -17 + 4x = 12 Add '17' to each side of the equation. -17 + 17 + 4x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 12 + 17 4x = 12 + 17 Combine like terms: 12 + 17 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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