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Simplifying x + -3 + -2(x + -2) + 2(3x + 1) = 0 Reorder the terms: x + -3 + -2(-2 + x) + 2(3x + 1) = 0 x + -3 + (-2 * -2 + x * -2) + 2(3x + 1) = 0 x + -3 + (4 + -2x) + 2(3x + 1) = 0 Reorder the terms: x + -3 + 4 + -2x + 2(1 + 3x) = 0 x + -3 + 4 + -2x + (1 * 2 + 3x * 2) = 0 x + -3 + 4 + -2x + (2 + 6x) = 0 Reorder the terms: -3 + 4 + 2 + x + -2x + 6x = 0 Combine like terms: -3 + 4 = 1 1 + 2 + x + -2x + 6x = 0 Combine like terms: 1 + 2 = 3 3 + x + -2x + 6x = 0 Combine like terms: x + -2x = -1x 3 + -1x + 6x = 0 Combine like terms: -1x + 6x = 5x 3 + 5x = 0 Solving 3 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6
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