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Simplifying 3 + 6(x + -2) = 12 + 3x + 2x Reorder the terms: 3 + 6(-2 + x) = 12 + 3x + 2x 3 + (-2 * 6 + x * 6) = 12 + 3x + 2x 3 + (-12 + 6x) = 12 + 3x + 2x Combine like terms: 3 + -12 = -9 -9 + 6x = 12 + 3x + 2x Combine like terms: 3x + 2x = 5x -9 + 6x = 12 + 5x Solving -9 + 6x = 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. -9 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x -9 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 1x = 12 + 0 -9 + 1x = 12 Add '9' to each side of the equation. -9 + 9 + 1x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 12 + 9 1x = 12 + 9 Combine like terms: 12 + 9 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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