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Simplifying 4(x + 3) = 12(x + 1) Reorder the terms: 4(3 + x) = 12(x + 1) (3 * 4 + x * 4) = 12(x + 1) (12 + 4x) = 12(x + 1) Reorder the terms: 12 + 4x = 12(1 + x) 12 + 4x = (1 * 12 + x * 12) 12 + 4x = (12 + 12x) Add '-12' to each side of the equation. 12 + -12 + 4x = 12 + -12 + 12x Combine like terms: 12 + -12 = 0 0 + 4x = 12 + -12 + 12x 4x = 12 + -12 + 12x Combine like terms: 12 + -12 = 0 4x = 0 + 12x 4x = 12x Solving 4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4x + -12x = 12x + -12x Combine like terms: 4x + -12x = -8x -8x = 12x + -12x Combine like terms: 12x + -12x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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