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Simplifying 0.25(4x + 16) = 3 + 2(2 + -1x) Reorder the terms: 0.25(16 + 4x) = 3 + 2(2 + -1x) (16 * 0.25 + 4x * 0.25) = 3 + 2(2 + -1x) (4 + 1x) = 3 + 2(2 + -1x) 4 + 1x = 3 + (2 * 2 + -1x * 2) 4 + 1x = 3 + (4 + -2x) Combine like terms: 3 + 4 = 7 4 + 1x = 7 + -2x Solving 4 + 1x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 1x + 2x = 7 + -2x + 2x Combine like terms: 1x + 2x = 3x 4 + 3x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 3x = 7 + 0 4 + 3x = 7 Add '-4' to each side of the equation. 4 + -4 + 3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 7 + -4 3x = 7 + -4 Combine like terms: 7 + -4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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