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Simplifying 3(x + 8) = -3(7 + -0.25x) Reorder the terms: 3(8 + x) = -3(7 + -0.25x) (8 * 3 + x * 3) = -3(7 + -0.25x) (24 + 3x) = -3(7 + -0.25x) 24 + 3x = (7 * -3 + -0.25x * -3) 24 + 3x = (-21 + 0.75x) Solving 24 + 3x = -21 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 24 + 3x + -0.75x = -21 + 0.75x + -0.75x Combine like terms: 3x + -0.75x = 2.25x 24 + 2.25x = -21 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 24 + 2.25x = -21 + 0.00 24 + 2.25x = -21 Add '-24' to each side of the equation. 24 + -24 + 2.25x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 2.25x = -21 + -24 2.25x = -21 + -24 Combine like terms: -21 + -24 = -45 2.25x = -45 Divide each side by '2.25'. x = -20 Simplifying x = -20
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