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Simplifying 10x + -3(x + -2) = 12 + 5x Reorder the terms: 10x + -3(-2 + x) = 12 + 5x 10x + (-2 * -3 + x * -3) = 12 + 5x 10x + (6 + -3x) = 12 + 5x Reorder the terms: 6 + 10x + -3x = 12 + 5x Combine like terms: 10x + -3x = 7x 6 + 7x = 12 + 5x Solving 6 + 7x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 7x + -5x = 12 + 5x + -5x Combine like terms: 7x + -5x = 2x 6 + 2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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