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Simplifying 3(2x + -1) = 3(3x + 6) Reorder the terms: 3(-1 + 2x) = 3(3x + 6) (-1 * 3 + 2x * 3) = 3(3x + 6) (-3 + 6x) = 3(3x + 6) Reorder the terms: -3 + 6x = 3(6 + 3x) -3 + 6x = (6 * 3 + 3x * 3) -3 + 6x = (18 + 9x) Solving -3 + 6x = 18 + 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. -3 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -3 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 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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