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Simplifying 4x + 12 = (3x + -6) + 27 Reorder the terms: 12 + 4x = (3x + -6) + 27 Reorder the terms: 12 + 4x = (-6 + 3x) + 27 Remove parenthesis around (-6 + 3x) 12 + 4x = -6 + 3x + 27 Reorder the terms: 12 + 4x = -6 + 27 + 3x Combine like terms: -6 + 27 = 21 12 + 4x = 21 + 3x Solving 12 + 4x = 21 + 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 + 4x + -3x = 21 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 21 + 0 12 + 1x = 21 Add '-12' to each side of the equation. 12 + -12 + 1x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 21 + -12 1x = 21 + -12 Combine like terms: 21 + -12 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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