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Simplifying x * 2 + 278 = x * 12 + -12 Reorder the terms for easier multiplication: 2x + 278 = x * 12 + -12 Reorder the terms: 278 + 2x = x * 12 + -12 Reorder the terms for easier multiplication: 278 + 2x = 12x + -12 Reorder the terms: 278 + 2x = -12 + 12x Solving 278 + 2x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 278 + 2x + -12x = -12 + 12x + -12x Combine like terms: 2x + -12x = -10x 278 + -10x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 278 + -10x = -12 + 0 278 + -10x = -12 Add '-278' to each side of the equation. 278 + -278 + -10x = -12 + -278 Combine like terms: 278 + -278 = 0 0 + -10x = -12 + -278 -10x = -12 + -278 Combine like terms: -12 + -278 = -290 -10x = -290 Divide each side by '-10'. x = 29 Simplifying x = 29
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