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Simplifying 5x + -7x + 10 = 7 + -3x + 5 Reorder the terms: 10 + 5x + -7x = 7 + -3x + 5 Combine like terms: 5x + -7x = -2x 10 + -2x = 7 + -3x + 5 Reorder the terms: 10 + -2x = 7 + 5 + -3x Combine like terms: 7 + 5 = 12 10 + -2x = 12 + -3x Solving 10 + -2x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 10 + -2x + 3x = 12 + -3x + 3x Combine like terms: -2x + 3x = 1x 10 + 1x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 1x = 12 + 0 10 + 1x = 12 Add '-10' to each side of the equation. 10 + -10 + 1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 12 + -10 1x = 12 + -10 Combine like terms: 12 + -10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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