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Simplifying 4x + 2(x + 3) + -3(3x + 1) = 0 Reorder the terms: 4x + 2(3 + x) + -3(3x + 1) = 0 4x + (3 * 2 + x * 2) + -3(3x + 1) = 0 4x + (6 + 2x) + -3(3x + 1) = 0 Reorder the terms: 4x + 6 + 2x + -3(1 + 3x) = 0 4x + 6 + 2x + (1 * -3 + 3x * -3) = 0 4x + 6 + 2x + (-3 + -9x) = 0 Reorder the terms: 6 + -3 + 4x + 2x + -9x = 0 Combine like terms: 6 + -3 = 3 3 + 4x + 2x + -9x = 0 Combine like terms: 4x + 2x = 6x 3 + 6x + -9x = 0 Combine like terms: 6x + -9x = -3x 3 + -3x = 0 Solving 3 + -3x = 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 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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