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Simplifying 3(x + 2) = 5x + -12 + 4x Reorder the terms: 3(2 + x) = 5x + -12 + 4x (2 * 3 + x * 3) = 5x + -12 + 4x (6 + 3x) = 5x + -12 + 4x Reorder the terms: 6 + 3x = -12 + 5x + 4x Combine like terms: 5x + 4x = 9x 6 + 3x = -12 + 9x Solving 6 + 3x = -12 + 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. 6 + 3x + -9x = -12 + 9x + -9x Combine like terms: 3x + -9x = -6x 6 + -6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 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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