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Simplifying 6(x + 5) + -3(5x + 2) = 0 Reorder the terms: 6(5 + x) + -3(5x + 2) = 0 (5 * 6 + x * 6) + -3(5x + 2) = 0 (30 + 6x) + -3(5x + 2) = 0 Reorder the terms: 30 + 6x + -3(2 + 5x) = 0 30 + 6x + (2 * -3 + 5x * -3) = 0 30 + 6x + (-6 + -15x) = 0 Reorder the terms: 30 + -6 + 6x + -15x = 0 Combine like terms: 30 + -6 = 24 24 + 6x + -15x = 0 Combine like terms: 6x + -15x = -9x 24 + -9x = 0 Solving 24 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -9x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 0 + -24 -9x = 0 + -24 Combine like terms: 0 + -24 = -24 -9x = -24 Divide each side by '-9'. x = 2.666666667 Simplifying x = 2.666666667
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