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Simplifying 10x + 30 = 3x + -12 Reorder the terms: 30 + 10x = 3x + -12 Reorder the terms: 30 + 10x = -12 + 3x Solving 30 + 10x = -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. 30 + 10x + -3x = -12 + 3x + -3x Combine like terms: 10x + -3x = 7x 30 + 7x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 7x = -12 + 0 30 + 7x = -12 Add '-30' to each side of the equation. 30 + -30 + 7x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = -12 + -30 7x = -12 + -30 Combine like terms: -12 + -30 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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