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