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Simplifying 5x + 7 = -5x + 117 Reorder the terms: 7 + 5x = -5x + 117 Reorder the terms: 7 + 5x = 117 + -5x Solving 7 + 5x = 117 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 5x + 5x = 117 + -5x + 5x Combine like terms: 5x + 5x = 10x 7 + 10x = 117 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 10x = 117 + 0 7 + 10x = 117 Add '-7' to each side of the equation. 7 + -7 + 10x = 117 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 117 + -7 10x = 117 + -7 Combine like terms: 117 + -7 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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