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Simplifying 5(4x + 3) + -1(2x + 7) = 10 Reorder the terms: 5(3 + 4x) + -1(2x + 7) = 10 (3 * 5 + 4x * 5) + -1(2x + 7) = 10 (15 + 20x) + -1(2x + 7) = 10 Reorder the terms: 15 + 20x + -1(7 + 2x) = 10 15 + 20x + (7 * -1 + 2x * -1) = 10 15 + 20x + (-7 + -2x) = 10 Reorder the terms: 15 + -7 + 20x + -2x = 10 Combine like terms: 15 + -7 = 8 8 + 20x + -2x = 10 Combine like terms: 20x + -2x = 18x 8 + 18x = 10 Solving 8 + 18x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 10 + -8 18x = 10 + -8 Combine like terms: 10 + -8 = 2 18x = 2 Divide each side by '18'. x = 0.1111111111 Simplifying x = 0.1111111111
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