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Simplifying 10(x + 6) = 7(x + 9) Reorder the terms: 10(6 + x) = 7(x + 9) (6 * 10 + x * 10) = 7(x + 9) (60 + 10x) = 7(x + 9) Reorder the terms: 60 + 10x = 7(9 + x) 60 + 10x = (9 * 7 + x * 7) 60 + 10x = (63 + 7x) Solving 60 + 10x = 63 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 60 + 10x + -7x = 63 + 7x + -7x Combine like terms: 10x + -7x = 3x 60 + 3x = 63 + 7x + -7x Combine like terms: 7x + -7x = 0 60 + 3x = 63 + 0 60 + 3x = 63 Add '-60' to each side of the equation. 60 + -60 + 3x = 63 + -60 Combine like terms: 60 + -60 = 0 0 + 3x = 63 + -60 3x = 63 + -60 Combine like terms: 63 + -60 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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