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Simplifying 3x + -2(2 + -1x) = 6 + -1x + -10 3x + (2 * -2 + -1x * -2) = 6 + -1x + -10 3x + (-4 + 2x) = 6 + -1x + -10 Reorder the terms: -4 + 3x + 2x = 6 + -1x + -10 Combine like terms: 3x + 2x = 5x -4 + 5x = 6 + -1x + -10 Reorder the terms: -4 + 5x = 6 + -10 + -1x Combine like terms: 6 + -10 = -4 -4 + 5x = -4 + -1x Add '4' to each side of the equation. -4 + 4 + 5x = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 0 + 5x = -4 + 4 + -1x 5x = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 5x = 0 + -1x 5x = -1x Solving 5x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5x + x = -1x + x Combine like terms: 5x + x = 6x 6x = -1x + x Combine like terms: -1x + x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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