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Simplifying 4(x + 3) = 3(3x + -6) Reorder the terms: 4(3 + x) = 3(3x + -6) (3 * 4 + x * 4) = 3(3x + -6) (12 + 4x) = 3(3x + -6) Reorder the terms: 12 + 4x = 3(-6 + 3x) 12 + 4x = (-6 * 3 + 3x * 3) 12 + 4x = (-18 + 9x) Solving 12 + 4x = -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. 12 + 4x + -9x = -18 + 9x + -9x Combine like terms: 4x + -9x = -5x 12 + -5x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -5x = -18 + 0 12 + -5x = -18 Add '-12' to each side of the equation. 12 + -12 + -5x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -18 + -12 -5x = -18 + -12 Combine like terms: -18 + -12 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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