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Simplifying 10x + 3 = 7x + -12 Reorder the terms: 3 + 10x = 7x + -12 Reorder the terms: 3 + 10x = -12 + 7x Solving 3 + 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. 3 + 10x + -7x = -12 + 7x + -7x Combine like terms: 10x + -7x = 3x 3 + 3x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 3x = -12 + 0 3 + 3x = -12 Add '-3' to each side of the equation. 3 + -3 + 3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -12 + -3 3x = -12 + -3 Combine like terms: -12 + -3 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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