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Simplifying 5(3 + -9x + -4x) + 8(7x + 5) = 10 Combine like terms: -9x + -4x = -13x 5(3 + -13x) + 8(7x + 5) = 10 (3 * 5 + -13x * 5) + 8(7x + 5) = 10 (15 + -65x) + 8(7x + 5) = 10 Reorder the terms: 15 + -65x + 8(5 + 7x) = 10 15 + -65x + (5 * 8 + 7x * 8) = 10 15 + -65x + (40 + 56x) = 10 Reorder the terms: 15 + 40 + -65x + 56x = 10 Combine like terms: 15 + 40 = 55 55 + -65x + 56x = 10 Combine like terms: -65x + 56x = -9x 55 + -9x = 10 Solving 55 + -9x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -9x = 10 + -55 Combine like terms: 55 + -55 = 0 0 + -9x = 10 + -55 -9x = 10 + -55 Combine like terms: 10 + -55 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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