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Simplifying -6(x + 3) + 2 = 18 + -5x Reorder the terms: -6(3 + x) + 2 = 18 + -5x (3 * -6 + x * -6) + 2 = 18 + -5x (-18 + -6x) + 2 = 18 + -5x Reorder the terms: -18 + 2 + -6x = 18 + -5x Combine like terms: -18 + 2 = -16 -16 + -6x = 18 + -5x Solving -16 + -6x = 18 + -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. -16 + -6x + 5x = 18 + -5x + 5x Combine like terms: -6x + 5x = -1x -16 + -1x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + -1x = 18 + 0 -16 + -1x = 18 Add '16' to each side of the equation. -16 + 16 + -1x = 18 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 18 + 16 -1x = 18 + 16 Combine like terms: 18 + 16 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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