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Simplifying 0.25(16 + -4x) = 7 + -1(1.25x + 5) (16 * 0.25 + -4x * 0.25) = 7 + -1(1.25x + 5) (4 + -1x) = 7 + -1(1.25x + 5) Reorder the terms: 4 + -1x = 7 + -1(5 + 1.25x) 4 + -1x = 7 + (5 * -1 + 1.25x * -1) 4 + -1x = 7 + (-5 + -1.25x) Combine like terms: 7 + -5 = 2 4 + -1x = 2 + -1.25x Solving 4 + -1x = 2 + -1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25x' to each side of the equation. 4 + -1x + 1.25x = 2 + -1.25x + 1.25x Combine like terms: -1x + 1.25x = 0.25x 4 + 0.25x = 2 + -1.25x + 1.25x Combine like terms: -1.25x + 1.25x = 0.00 4 + 0.25x = 2 + 0.00 4 + 0.25x = 2 Add '-4' to each side of the equation. 4 + -4 + 0.25x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 0.25x = 2 + -4 0.25x = 2 + -4 Combine like terms: 2 + -4 = -2 0.25x = -2 Divide each side by '0.25'. x = -8 Simplifying x = -8
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