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Simplifying -3x + 2(3x + -5) = 2x + 12 Reorder the terms: -3x + 2(-5 + 3x) = 2x + 12 -3x + (-5 * 2 + 3x * 2) = 2x + 12 -3x + (-10 + 6x) = 2x + 12 Reorder the terms: -10 + -3x + 6x = 2x + 12 Combine like terms: -3x + 6x = 3x -10 + 3x = 2x + 12 Reorder the terms: -10 + 3x = 12 + 2x Solving -10 + 3x = 12 + 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. -10 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = 12 + 0 -10 + 1x = 12 Add '10' to each side of the equation. -10 + 10 + 1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 12 + 10 1x = 12 + 10 Combine like terms: 12 + 10 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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