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Simplifying -7(3x + 2) = -30 + -5x Reorder the terms: -7(2 + 3x) = -30 + -5x (2 * -7 + 3x * -7) = -30 + -5x (-14 + -21x) = -30 + -5x Solving -14 + -21x = -30 + -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. -14 + -21x + 5x = -30 + -5x + 5x Combine like terms: -21x + 5x = -16x -14 + -16x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + -16x = -30 + 0 -14 + -16x = -30 Add '14' to each side of the equation. -14 + 14 + -16x = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -16x = -30 + 14 -16x = -30 + 14 Combine like terms: -30 + 14 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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