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Simplifying 3(4 + -3x) + -2(2x + -5) = 0 (4 * 3 + -3x * 3) + -2(2x + -5) = 0 (12 + -9x) + -2(2x + -5) = 0 Reorder the terms: 12 + -9x + -2(-5 + 2x) = 0 12 + -9x + (-5 * -2 + 2x * -2) = 0 12 + -9x + (10 + -4x) = 0 Reorder the terms: 12 + 10 + -9x + -4x = 0 Combine like terms: 12 + 10 = 22 22 + -9x + -4x = 0 Combine like terms: -9x + -4x = -13x 22 + -13x = 0 Solving 22 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -13x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -13x = 0 + -22 -13x = 0 + -22 Combine like terms: 0 + -22 = -22 -13x = -22 Divide each side by '-13'. x = 1.692307692 Simplifying x = 1.692307692
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