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Simplifying 3x + 4(x + -2) = 2(2x + 5) Reorder the terms: 3x + 4(-2 + x) = 2(2x + 5) 3x + (-2 * 4 + x * 4) = 2(2x + 5) 3x + (-8 + 4x) = 2(2x + 5) Reorder the terms: -8 + 3x + 4x = 2(2x + 5) Combine like terms: 3x + 4x = 7x -8 + 7x = 2(2x + 5) Reorder the terms: -8 + 7x = 2(5 + 2x) -8 + 7x = (5 * 2 + 2x * 2) -8 + 7x = (10 + 4x) Solving -8 + 7x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 7x + -4x = 10 + 4x + -4x Combine like terms: 7x + -4x = 3x -8 + 3x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 3x = 10 + 0 -8 + 3x = 10 Add '8' to each side of the equation. -8 + 8 + 3x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 10 + 8 3x = 10 + 8 Combine like terms: 10 + 8 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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