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Simplifying 3x + -2 = 10x + 12 Reorder the terms: -2 + 3x = 10x + 12 Reorder the terms: -2 + 3x = 12 + 10x Solving -2 + 3x = 12 + 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 + 3x + -10x = 12 + 10x + -10x Combine like terms: 3x + -10x = -7x -2 + -7x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -7x = 12 + 0 -2 + -7x = 12 Add '2' to each side of the equation. -2 + 2 + -7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 12 + 2 -7x = 12 + 2 Combine like terms: 12 + 2 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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