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Simplifying 3x + -4(x + -2) = 2(5x + 4) Reorder the terms: 3x + -4(-2 + x) = 2(5x + 4) 3x + (-2 * -4 + x * -4) = 2(5x + 4) 3x + (8 + -4x) = 2(5x + 4) Reorder the terms: 8 + 3x + -4x = 2(5x + 4) Combine like terms: 3x + -4x = -1x 8 + -1x = 2(5x + 4) Reorder the terms: 8 + -1x = 2(4 + 5x) 8 + -1x = (4 * 2 + 5x * 2) 8 + -1x = (8 + 10x) Add '-8' to each side of the equation. 8 + -8 + -1x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 0 + -1x = 8 + -8 + 10x -1x = 8 + -8 + 10x Combine like terms: 8 + -8 = 0 -1x = 0 + 10x -1x = 10x Solving -1x = 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. -1x + -10x = 10x + -10x Combine like terms: -1x + -10x = -11x -11x = 10x + -10x Combine like terms: 10x + -10x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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