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Simplifying 12(x + 4) = 3(x + 4) + 36 Reorder the terms: 12(4 + x) = 3(x + 4) + 36 (4 * 12 + x * 12) = 3(x + 4) + 36 (48 + 12x) = 3(x + 4) + 36 Reorder the terms: 48 + 12x = 3(4 + x) + 36 48 + 12x = (4 * 3 + x * 3) + 36 48 + 12x = (12 + 3x) + 36 Reorder the terms: 48 + 12x = 12 + 36 + 3x Combine like terms: 12 + 36 = 48 48 + 12x = 48 + 3x Add '-48' to each side of the equation. 48 + -48 + 12x = 48 + -48 + 3x Combine like terms: 48 + -48 = 0 0 + 12x = 48 + -48 + 3x 12x = 48 + -48 + 3x Combine like terms: 48 + -48 = 0 12x = 0 + 3x 12x = 3x Solving 12x = 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. 12x + -3x = 3x + -3x Combine like terms: 12x + -3x = 9x 9x = 3x + -3x Combine like terms: 3x + -3x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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