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Simplifying 5(x + 7) = -30(x + 2) Reorder the terms: 5(7 + x) = -30(x + 2) (7 * 5 + x * 5) = -30(x + 2) (35 + 5x) = -30(x + 2) Reorder the terms: 35 + 5x = -30(2 + x) 35 + 5x = (2 * -30 + x * -30) 35 + 5x = (-60 + -30x) Solving 35 + 5x = -60 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 35 + 5x + 30x = -60 + -30x + 30x Combine like terms: 5x + 30x = 35x 35 + 35x = -60 + -30x + 30x Combine like terms: -30x + 30x = 0 35 + 35x = -60 + 0 35 + 35x = -60 Add '-35' to each side of the equation. 35 + -35 + 35x = -60 + -35 Combine like terms: 35 + -35 = 0 0 + 35x = -60 + -35 35x = -60 + -35 Combine like terms: -60 + -35 = -95 35x = -95 Divide each side by '35'. x = -2.714285714 Simplifying x = -2.714285714
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