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Simplifying 12(x + 5) = 9(7 + -2x) Reorder the terms: 12(5 + x) = 9(7 + -2x) (5 * 12 + x * 12) = 9(7 + -2x) (60 + 12x) = 9(7 + -2x) 60 + 12x = (7 * 9 + -2x * 9) 60 + 12x = (63 + -18x) Solving 60 + 12x = 63 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 60 + 12x + 18x = 63 + -18x + 18x Combine like terms: 12x + 18x = 30x 60 + 30x = 63 + -18x + 18x Combine like terms: -18x + 18x = 0 60 + 30x = 63 + 0 60 + 30x = 63 Add '-60' to each side of the equation. 60 + -60 + 30x = 63 + -60 Combine like terms: 60 + -60 = 0 0 + 30x = 63 + -60 30x = 63 + -60 Combine like terms: 63 + -60 = 3 30x = 3 Divide each side by '30'. x = 0.1 Simplifying x = 0.1
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