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Simplifying 15x + -278 = 6x + -8 Reorder the terms: -278 + 15x = 6x + -8 Reorder the terms: -278 + 15x = -8 + 6x Solving -278 + 15x = -8 + 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. -278 + 15x + -6x = -8 + 6x + -6x Combine like terms: 15x + -6x = 9x -278 + 9x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -278 + 9x = -8 + 0 -278 + 9x = -8 Add '278' to each side of the equation. -278 + 278 + 9x = -8 + 278 Combine like terms: -278 + 278 = 0 0 + 9x = -8 + 278 9x = -8 + 278 Combine like terms: -8 + 278 = 270 9x = 270 Divide each side by '9'. x = 30 Simplifying x = 30
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