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Simplifying 5(7 + -2x) + 4(3 + -5x) = 0 (7 * 5 + -2x * 5) + 4(3 + -5x) = 0 (35 + -10x) + 4(3 + -5x) = 0 35 + -10x + (3 * 4 + -5x * 4) = 0 35 + -10x + (12 + -20x) = 0 Reorder the terms: 35 + 12 + -10x + -20x = 0 Combine like terms: 35 + 12 = 47 47 + -10x + -20x = 0 Combine like terms: -10x + -20x = -30x 47 + -30x = 0 Solving 47 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -30x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -30x = 0 + -47 -30x = 0 + -47 Combine like terms: 0 + -47 = -47 -30x = -47 Divide each side by '-30'. x = 1.566666667 Simplifying x = 1.566666667
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