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Simplifying 3(2x + -1) = 3(x + 6) Reorder the terms: 3(-1 + 2x) = 3(x + 6) (-1 * 3 + 2x * 3) = 3(x + 6) (-3 + 6x) = 3(x + 6) Reorder the terms: -3 + 6x = 3(6 + x) -3 + 6x = (6 * 3 + x * 3) -3 + 6x = (18 + 3x) Solving -3 + 6x = 18 + 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. -3 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x -3 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 3x = 18 + 0 -3 + 3x = 18 Add '3' to each side of the equation. -3 + 3 + 3x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 18 + 3 3x = 18 + 3 Combine like terms: 18 + 3 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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