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Simplifying -5(x + 6) = 22 + -3x Reorder the terms: -5(6 + x) = 22 + -3x (6 * -5 + x * -5) = 22 + -3x (-30 + -5x) = 22 + -3x Solving -30 + -5x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + -5x + 3x = 22 + -3x + 3x Combine like terms: -5x + 3x = -2x -30 + -2x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -2x = 22 + 0 -30 + -2x = 22 Add '30' to each side of the equation. -30 + 30 + -2x = 22 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 22 + 30 -2x = 22 + 30 Combine like terms: 22 + 30 = 52 -2x = 52 Divide each side by '-2'. x = -26 Simplifying x = -26
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