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Simplifying 5x + 2 = 10x + 7 Reorder the terms: 2 + 5x = 10x + 7 Reorder the terms: 2 + 5x = 7 + 10x Solving 2 + 5x = 7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 5x + -10x = 7 + 10x + -10x Combine like terms: 5x + -10x = -5x 2 + -5x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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