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Simplifying 0.75x + -2 = 2 + 0.25(x + 16) Reorder the terms: -2 + 0.75x = 2 + 0.25(x + 16) Reorder the terms: -2 + 0.75x = 2 + 0.25(16 + x) -2 + 0.75x = 2 + (16 * 0.25 + x * 0.25) -2 + 0.75x = 2 + (4 + 0.25x) Combine like terms: 2 + 4 = 6 -2 + 0.75x = 6 + 0.25x Solving -2 + 0.75x = 6 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -2 + 0.75x + -0.25x = 6 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x -2 + 0.5x = 6 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -2 + 0.5x = 6 + 0.00 -2 + 0.5x = 6 Add '2' to each side of the equation. -2 + 2 + 0.5x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5x = 6 + 2 0.5x = 6 + 2 Combine like terms: 6 + 2 = 8 0.5x = 8 Divide each side by '0.5'. x = 16 Simplifying x = 16
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