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Simplifying 10 + -5(8x + 6) = 12(3x + 7) Reorder the terms: 10 + -5(6 + 8x) = 12(3x + 7) 10 + (6 * -5 + 8x * -5) = 12(3x + 7) 10 + (-30 + -40x) = 12(3x + 7) Combine like terms: 10 + -30 = -20 -20 + -40x = 12(3x + 7) Reorder the terms: -20 + -40x = 12(7 + 3x) -20 + -40x = (7 * 12 + 3x * 12) -20 + -40x = (84 + 36x) Solving -20 + -40x = 84 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -20 + -40x + -36x = 84 + 36x + -36x Combine like terms: -40x + -36x = -76x -20 + -76x = 84 + 36x + -36x Combine like terms: 36x + -36x = 0 -20 + -76x = 84 + 0 -20 + -76x = 84 Add '20' to each side of the equation. -20 + 20 + -76x = 84 + 20 Combine like terms: -20 + 20 = 0 0 + -76x = 84 + 20 -76x = 84 + 20 Combine like terms: 84 + 20 = 104 -76x = 104 Divide each side by '-76'. x = -1.368421053 Simplifying x = -1.368421053
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