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Simplifying 12x + -3(3x + -2) = 2x + 10 Reorder the terms: 12x + -3(-2 + 3x) = 2x + 10 12x + (-2 * -3 + 3x * -3) = 2x + 10 12x + (6 + -9x) = 2x + 10 Reorder the terms: 6 + 12x + -9x = 2x + 10 Combine like terms: 12x + -9x = 3x 6 + 3x = 2x + 10 Reorder the terms: 6 + 3x = 10 + 2x Solving 6 + 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. 6 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = 10 + 0 6 + 1x = 10 Add '-6' to each side of the equation. 6 + -6 + 1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 10 + -6 1x = 10 + -6 Combine like terms: 10 + -6 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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