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Simplifying 5x + 27 = 6x + 12 Reorder the terms: 27 + 5x = 6x + 12 Reorder the terms: 27 + 5x = 12 + 6x Solving 27 + 5x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x 27 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -1x = 12 + 0 27 + -1x = 12 Add '-27' to each side of the equation. 27 + -27 + -1x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 12 + -27 -1x = 12 + -27 Combine like terms: 12 + -27 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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