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Simplifying 5x + -114 = 114 + -7x Reorder the terms: -114 + 5x = 114 + -7x Solving -114 + 5x = 114 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -114 + 5x + 7x = 114 + -7x + 7x Combine like terms: 5x + 7x = 12x -114 + 12x = 114 + -7x + 7x Combine like terms: -7x + 7x = 0 -114 + 12x = 114 + 0 -114 + 12x = 114 Add '114' to each side of the equation. -114 + 114 + 12x = 114 + 114 Combine like terms: -114 + 114 = 0 0 + 12x = 114 + 114 12x = 114 + 114 Combine like terms: 114 + 114 = 228 12x = 228 Divide each side by '12'. x = 19 Simplifying x = 19
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