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Simplifying 7x + 12 + 4x = 270 + 6x + 15 Reorder the terms: 12 + 7x + 4x = 270 + 6x + 15 Combine like terms: 7x + 4x = 11x 12 + 11x = 270 + 6x + 15 Reorder the terms: 12 + 11x = 270 + 15 + 6x Combine like terms: 270 + 15 = 285 12 + 11x = 285 + 6x Solving 12 + 11x = 285 + 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. 12 + 11x + -6x = 285 + 6x + -6x Combine like terms: 11x + -6x = 5x 12 + 5x = 285 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 5x = 285 + 0 12 + 5x = 285 Add '-12' to each side of the equation. 12 + -12 + 5x = 285 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 285 + -12 5x = 285 + -12 Combine like terms: 285 + -12 = 273 5x = 273 Divide each side by '5'. x = 54.6 Simplifying x = 54.6
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