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Simplifying 10x + 57 = 7x + 12 Reorder the terms: 57 + 10x = 7x + 12 Reorder the terms: 57 + 10x = 12 + 7x Solving 57 + 10x = 12 + 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. 57 + 10x + -7x = 12 + 7x + -7x Combine like terms: 10x + -7x = 3x 57 + 3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 57 + 3x = 12 + 0 57 + 3x = 12 Add '-57' to each side of the equation. 57 + -57 + 3x = 12 + -57 Combine like terms: 57 + -57 = 0 0 + 3x = 12 + -57 3x = 12 + -57 Combine like terms: 12 + -57 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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