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