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Simplifying 10(6x + 3) + 6(x + 5) = 9(4x + 2) + 7(x + -3) Reorder the terms: 10(3 + 6x) + 6(x + 5) = 9(4x + 2) + 7(x + -3) (3 * 10 + 6x * 10) + 6(x + 5) = 9(4x + 2) + 7(x + -3) (30 + 60x) + 6(x + 5) = 9(4x + 2) + 7(x + -3) Reorder the terms: 30 + 60x + 6(5 + x) = 9(4x + 2) + 7(x + -3) 30 + 60x + (5 * 6 + x * 6) = 9(4x + 2) + 7(x + -3) 30 + 60x + (30 + 6x) = 9(4x + 2) + 7(x + -3) Reorder the terms: 30 + 30 + 60x + 6x = 9(4x + 2) + 7(x + -3) Combine like terms: 30 + 30 = 60 60 + 60x + 6x = 9(4x + 2) + 7(x + -3) Combine like terms: 60x + 6x = 66x 60 + 66x = 9(4x + 2) + 7(x + -3) Reorder the terms: 60 + 66x = 9(2 + 4x) + 7(x + -3) 60 + 66x = (2 * 9 + 4x * 9) + 7(x + -3) 60 + 66x = (18 + 36x) + 7(x + -3) Reorder the terms: 60 + 66x = 18 + 36x + 7(-3 + x) 60 + 66x = 18 + 36x + (-3 * 7 + x * 7) 60 + 66x = 18 + 36x + (-21 + 7x) Reorder the terms: 60 + 66x = 18 + -21 + 36x + 7x Combine like terms: 18 + -21 = -3 60 + 66x = -3 + 36x + 7x Combine like terms: 36x + 7x = 43x 60 + 66x = -3 + 43x Solving 60 + 66x = -3 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. 60 + 66x + -43x = -3 + 43x + -43x Combine like terms: 66x + -43x = 23x 60 + 23x = -3 + 43x + -43x Combine like terms: 43x + -43x = 0 60 + 23x = -3 + 0 60 + 23x = -3 Add '-60' to each side of the equation. 60 + -60 + 23x = -3 + -60 Combine like terms: 60 + -60 = 0 0 + 23x = -3 + -60 23x = -3 + -60 Combine like terms: -3 + -60 = -63 23x = -63 Divide each side by '23'. x = -2.739130435 Simplifying x = -2.739130435
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