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Simplifying 3(3x + -6) = 4(x + 3) Reorder the terms: 3(-6 + 3x) = 4(x + 3) (-6 * 3 + 3x * 3) = 4(x + 3) (-18 + 9x) = 4(x + 3) Reorder the terms: -18 + 9x = 4(3 + x) -18 + 9x = (3 * 4 + x * 4) -18 + 9x = (12 + 4x) Solving -18 + 9x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 9x + -4x = 12 + 4x + -4x Combine like terms: 9x + -4x = 5x -18 + 5x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 5x = 12 + 0 -18 + 5x = 12 Add '18' to each side of the equation. -18 + 18 + 5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 12 + 18 5x = 12 + 18 Combine like terms: 12 + 18 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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