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Simplifying -5x + 7 = 5x + 47 Reorder the terms: 7 + -5x = 5x + 47 Reorder the terms: 7 + -5x = 47 + 5x Solving 7 + -5x = 47 + 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 = 47 + 5x + -5x Combine like terms: -5x + -5x = -10x 7 + -10x = 47 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -10x = 47 + 0 7 + -10x = 47 Add '-7' to each side of the equation. 7 + -7 + -10x = 47 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = 47 + -7 -10x = 47 + -7 Combine like terms: 47 + -7 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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