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Simplifying 4x + 2(3x + 5) + -1x + 3(x + -2) = 0 Reorder the terms: 4x + 2(5 + 3x) + -1x + 3(x + -2) = 0 4x + (5 * 2 + 3x * 2) + -1x + 3(x + -2) = 0 4x + (10 + 6x) + -1x + 3(x + -2) = 0 Reorder the terms: 4x + 10 + 6x + -1x + 3(-2 + x) = 0 4x + 10 + 6x + -1x + (-2 * 3 + x * 3) = 0 4x + 10 + 6x + -1x + (-6 + 3x) = 0 Reorder the terms: 10 + -6 + 4x + 6x + -1x + 3x = 0 Combine like terms: 10 + -6 = 4 4 + 4x + 6x + -1x + 3x = 0 Combine like terms: 4x + 6x = 10x 4 + 10x + -1x + 3x = 0 Combine like terms: 10x + -1x = 9x 4 + 9x + 3x = 0 Combine like terms: 9x + 3x = 12x 4 + 12x = 0 Solving 4 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 0 + -4 12x = 0 + -4 Combine like terms: 0 + -4 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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