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Simplifying 4x + -12 = 3x + 21 Reorder the terms: -12 + 4x = 3x + 21 Reorder the terms: -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 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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