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Simplifying 4(x + 3) + -1(x + 2) = 0 Reorder the terms: 4(3 + x) + -1(x + 2) = 0 (3 * 4 + x * 4) + -1(x + 2) = 0 (12 + 4x) + -1(x + 2) = 0 Reorder the terms: 12 + 4x + -1(2 + x) = 0 12 + 4x + (2 * -1 + x * -1) = 0 12 + 4x + (-2 + -1x) = 0 Reorder the terms: 12 + -2 + 4x + -1x = 0 Combine like terms: 12 + -2 = 10 10 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x 10 + 3x = 0 Solving 10 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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