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Simplifying 5x + 278 = 15x + -12 Reorder the terms: 278 + 5x = 15x + -12 Reorder the terms: 278 + 5x = -12 + 15x Solving 278 + 5x = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 278 + 5x + -15x = -12 + 15x + -15x Combine like terms: 5x + -15x = -10x 278 + -10x = -12 + 15x + -15x Combine like terms: 15x + -15x = 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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