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Simplifying 3x + -1(2x + 5) = 6 + -2(x + 10) Reorder the terms: 3x + -1(5 + 2x) = 6 + -2(x + 10) 3x + (5 * -1 + 2x * -1) = 6 + -2(x + 10) 3x + (-5 + -2x) = 6 + -2(x + 10) Reorder the terms: -5 + 3x + -2x = 6 + -2(x + 10) Combine like terms: 3x + -2x = 1x -5 + 1x = 6 + -2(x + 10) Reorder the terms: -5 + 1x = 6 + -2(10 + x) -5 + 1x = 6 + (10 * -2 + x * -2) -5 + 1x = 6 + (-20 + -2x) Combine like terms: 6 + -20 = -14 -5 + 1x = -14 + -2x Solving -5 + 1x = -14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 1x + 2x = -14 + -2x + 2x Combine like terms: 1x + 2x = 3x -5 + 3x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 3x = -14 + 0 -5 + 3x = -14 Add '5' to each side of the equation. -5 + 5 + 3x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -14 + 5 3x = -14 + 5 Combine like terms: -14 + 5 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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