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Simplifying 5(3 + -4x) + -2(2x + -3) = 0 (3 * 5 + -4x * 5) + -2(2x + -3) = 0 (15 + -20x) + -2(2x + -3) = 0 Reorder the terms: 15 + -20x + -2(-3 + 2x) = 0 15 + -20x + (-3 * -2 + 2x * -2) = 0 15 + -20x + (6 + -4x) = 0 Reorder the terms: 15 + 6 + -20x + -4x = 0 Combine like terms: 15 + 6 = 21 21 + -20x + -4x = 0 Combine like terms: -20x + -4x = -24x 21 + -24x = 0 Solving 21 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -24x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -24x = 0 + -21 -24x = 0 + -21 Combine like terms: 0 + -21 = -21 -24x = -21 Divide each side by '-24'. x = 0.875 Simplifying x = 0.875
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