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Simplifying 3x + 12 = -2x + 10 Reorder the terms: 12 + 3x = -2x + 10 Reorder the terms: 12 + 3x = 10 + -2x Solving 12 + 3x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 3x + 2x = 10 + -2x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 5x = 10 + 0 12 + 5x = 10 Add '-12' to each side of the equation. 12 + -12 + 5x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 10 + -12 5x = 10 + -12 Combine like terms: 10 + -12 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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