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Simplifying x + -114 = -7x + 46 Reorder the terms: -114 + x = -7x + 46 Reorder the terms: -114 + x = 46 + -7x Solving -114 + x = 46 + -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 + x + 7x = 46 + -7x + 7x Combine like terms: x + 7x = 8x -114 + 8x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 -114 + 8x = 46 + 0 -114 + 8x = 46 Add '114' to each side of the equation. -114 + 114 + 8x = 46 + 114 Combine like terms: -114 + 114 = 0 0 + 8x = 46 + 114 8x = 46 + 114 Combine like terms: 46 + 114 = 160 8x = 160 Divide each side by '8'. x = 20 Simplifying x = 20
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