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Simplifying 2(6x + -10) = 31 + -3(5 + -3x) Reorder the terms: 2(-10 + 6x) = 31 + -3(5 + -3x) (-10 * 2 + 6x * 2) = 31 + -3(5 + -3x) (-20 + 12x) = 31 + -3(5 + -3x) -20 + 12x = 31 + (5 * -3 + -3x * -3) -20 + 12x = 31 + (-15 + 9x) Combine like terms: 31 + -15 = 16 -20 + 12x = 16 + 9x Solving -20 + 12x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 12x + -9x = 16 + 9x + -9x Combine like terms: 12x + -9x = 3x -20 + 3x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + 3x = 16 + 0 -20 + 3x = 16 Add '20' to each side of the equation. -20 + 20 + 3x = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 16 + 20 3x = 16 + 20 Combine like terms: 16 + 20 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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