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Simplifying 6x + 12 = 4x + 21 Reorder the terms: 12 + 6x = 4x + 21 Reorder the terms: 12 + 6x = 21 + 4x Solving 12 + 6x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 6x + -4x = 21 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = 21 + 0 12 + 2x = 21 Add '-12' to each side of the equation. 12 + -12 + 2x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 21 + -12 2x = 21 + -12 Combine like terms: 21 + -12 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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