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Simplifying 0.25(x + -12) + 0.50(x + 2) = x + 4 Reorder the terms: 0.25(-12 + x) + 0.50(x + 2) = x + 4 (-12 * 0.25 + x * 0.25) + 0.50(x + 2) = x + 4 (-3 + 0.25x) + 0.50(x + 2) = x + 4 Reorder the terms: -3 + 0.25x + 0.50(2 + x) = x + 4 -3 + 0.25x + (2 * 0.50 + x * 0.50) = x + 4 -3 + 0.25x + (1 + 0.50x) = x + 4 Reorder the terms: -3 + 1 + 0.25x + 0.50x = x + 4 Combine like terms: -3 + 1 = -2 -2 + 0.25x + 0.50x = x + 4 Combine like terms: 0.25x + 0.50x = 0.75x -2 + 0.75x = x + 4 Reorder the terms: -2 + 0.75x = 4 + x Solving -2 + 0.75x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 0.75x + -1x = 4 + x + -1x Combine like terms: 0.75x + -1x = -0.25x -2 + -0.25x = 4 + x + -1x Combine like terms: x + -1x = 0 -2 + -0.25x = 4 + 0 -2 + -0.25x = 4 Add '2' to each side of the equation. -2 + 2 + -0.25x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -0.25x = 4 + 2 -0.25x = 4 + 2 Combine like terms: 4 + 2 = 6 -0.25x = 6 Divide each side by '-0.25'. x = -24 Simplifying x = -24
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