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Simplifying 6(3x + -1) = 4(3x + 3) Reorder the terms: 6(-1 + 3x) = 4(3x + 3) (-1 * 6 + 3x * 6) = 4(3x + 3) (-6 + 18x) = 4(3x + 3) Reorder the terms: -6 + 18x = 4(3 + 3x) -6 + 18x = (3 * 4 + 3x * 4) -6 + 18x = (12 + 12x) Solving -6 + 18x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 18x + -12x = 12 + 12x + -12x Combine like terms: 18x + -12x = 6x -6 + 6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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