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Simplifying 3x + -10 = 2(4 + -2x) Reorder the terms: -10 + 3x = 2(4 + -2x) -10 + 3x = (4 * 2 + -2x * 2) -10 + 3x = (8 + -4x) Solving -10 + 3x = 8 + -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. -10 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x -10 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 7x = 8 + 0 -10 + 7x = 8 Add '10' to each side of the equation. -10 + 10 + 7x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 8 + 10 7x = 8 + 10 Combine like terms: 8 + 10 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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