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Simplifying 6x + -10 = 3x + 12 Reorder the terms: -10 + 6x = 3x + 12 Reorder the terms: -10 + 6x = 12 + 3x Solving -10 + 6x = 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. -10 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -10 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 3x = 12 + 0 -10 + 3x = 12 Add '10' to each side of the equation. -10 + 10 + 3x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 12 + 10 3x = 12 + 10 Combine like terms: 12 + 10 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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