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Simplifying 2(3x + -1) = 10 + 3(2 + -1x) Reorder the terms: 2(-1 + 3x) = 10 + 3(2 + -1x) (-1 * 2 + 3x * 2) = 10 + 3(2 + -1x) (-2 + 6x) = 10 + 3(2 + -1x) -2 + 6x = 10 + (2 * 3 + -1x * 3) -2 + 6x = 10 + (6 + -3x) Combine like terms: 10 + 6 = 16 -2 + 6x = 16 + -3x Solving -2 + 6x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 6x + 3x = 16 + -3x + 3x Combine like terms: 6x + 3x = 9x -2 + 9x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 9x = 16 + 0 -2 + 9x = 16 Add '2' to each side of the equation. -2 + 2 + 9x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 16 + 2 9x = 16 + 2 Combine like terms: 16 + 2 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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