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Simplifying 3x + -4(2 + -1x) = 3(x + -2) + -2 3x + (2 * -4 + -1x * -4) = 3(x + -2) + -2 3x + (-8 + 4x) = 3(x + -2) + -2 Reorder the terms: -8 + 3x + 4x = 3(x + -2) + -2 Combine like terms: 3x + 4x = 7x -8 + 7x = 3(x + -2) + -2 Reorder the terms: -8 + 7x = 3(-2 + x) + -2 -8 + 7x = (-2 * 3 + x * 3) + -2 -8 + 7x = (-6 + 3x) + -2 Reorder the terms: -8 + 7x = -6 + -2 + 3x Combine like terms: -6 + -2 = -8 -8 + 7x = -8 + 3x Add '8' to each side of the equation. -8 + 8 + 7x = -8 + 8 + 3x Combine like terms: -8 + 8 = 0 0 + 7x = -8 + 8 + 3x 7x = -8 + 8 + 3x Combine like terms: -8 + 8 = 0 7x = 0 + 3x 7x = 3x Solving 7x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7x + -3x = 3x + -3x Combine like terms: 7x + -3x = 4x 4x = 3x + -3x Combine like terms: 3x + -3x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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