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Simplifying 3(x + 6) + 5(2 + -1x) = 10(6 + 2x) Reorder the terms: 3(6 + x) + 5(2 + -1x) = 10(6 + 2x) (6 * 3 + x * 3) + 5(2 + -1x) = 10(6 + 2x) (18 + 3x) + 5(2 + -1x) = 10(6 + 2x) 18 + 3x + (2 * 5 + -1x * 5) = 10(6 + 2x) 18 + 3x + (10 + -5x) = 10(6 + 2x) Reorder the terms: 18 + 10 + 3x + -5x = 10(6 + 2x) Combine like terms: 18 + 10 = 28 28 + 3x + -5x = 10(6 + 2x) Combine like terms: 3x + -5x = -2x 28 + -2x = 10(6 + 2x) 28 + -2x = (6 * 10 + 2x * 10) 28 + -2x = (60 + 20x) Solving 28 + -2x = 60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 28 + -2x + -20x = 60 + 20x + -20x Combine like terms: -2x + -20x = -22x 28 + -22x = 60 + 20x + -20x Combine like terms: 20x + -20x = 0 28 + -22x = 60 + 0 28 + -22x = 60 Add '-28' to each side of the equation. 28 + -28 + -22x = 60 + -28 Combine like terms: 28 + -28 = 0 0 + -22x = 60 + -28 -22x = 60 + -28 Combine like terms: 60 + -28 = 32 -22x = 32 Divide each side by '-22'. x = -1.454545455 Simplifying x = -1.454545455
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