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