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Simplifying -114 + 4x = -8x + 42 Reorder the terms: -114 + 4x = 42 + -8x Solving -114 + 4x = 42 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -114 + 4x + 8x = 42 + -8x + 8x Combine like terms: 4x + 8x = 12x -114 + 12x = 42 + -8x + 8x Combine like terms: -8x + 8x = 0 -114 + 12x = 42 + 0 -114 + 12x = 42 Add '114' to each side of the equation. -114 + 114 + 12x = 42 + 114 Combine like terms: -114 + 114 = 0 0 + 12x = 42 + 114 12x = 42 + 114 Combine like terms: 42 + 114 = 156 12x = 156 Divide each side by '12'. x = 13 Simplifying x = 13
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