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