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Simplifying 5(x + 8) = 30(x + -2) Reorder the terms: 5(8 + x) = 30(x + -2) (8 * 5 + x * 5) = 30(x + -2) (40 + 5x) = 30(x + -2) Reorder the terms: 40 + 5x = 30(-2 + x) 40 + 5x = (-2 * 30 + x * 30) 40 + 5x = (-60 + 30x) Solving 40 + 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. 40 + 5x + -30x = -60 + 30x + -30x Combine like terms: 5x + -30x = -25x 40 + -25x = -60 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + -25x = -60 + 0 40 + -25x = -60 Add '-40' to each side of the equation. 40 + -40 + -25x = -60 + -40 Combine like terms: 40 + -40 = 0 0 + -25x = -60 + -40 -25x = -60 + -40 Combine like terms: -60 + -40 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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