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Simplifying -3(x + 2) = 5x + 12 + x Reorder the terms: -3(2 + x) = 5x + 12 + x (2 * -3 + x * -3) = 5x + 12 + x (-6 + -3x) = 5x + 12 + x Reorder the terms: -6 + -3x = 12 + 5x + x Combine like terms: 5x + x = 6x -6 + -3x = 12 + 6x Solving -6 + -3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + -3x + -6x = 12 + 6x + -6x Combine like terms: -3x + -6x = -9x -6 + -9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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