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Simplifying 7(3x + 6) + -6(5x + -2) = 10 Reorder the terms: 7(6 + 3x) + -6(5x + -2) = 10 (6 * 7 + 3x * 7) + -6(5x + -2) = 10 (42 + 21x) + -6(5x + -2) = 10 Reorder the terms: 42 + 21x + -6(-2 + 5x) = 10 42 + 21x + (-2 * -6 + 5x * -6) = 10 42 + 21x + (12 + -30x) = 10 Reorder the terms: 42 + 12 + 21x + -30x = 10 Combine like terms: 42 + 12 = 54 54 + 21x + -30x = 10 Combine like terms: 21x + -30x = -9x 54 + -9x = 10 Solving 54 + -9x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -9x = 10 + -54 Combine like terms: 54 + -54 = 0 0 + -9x = 10 + -54 -9x = 10 + -54 Combine like terms: 10 + -54 = -44 -9x = -44 Divide each side by '-9'. x = 4.888888889 Simplifying x = 4.888888889
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