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Simplifying x + -0.25(12 + -1x) = x + 3(4 + -1x) + -2x x + (12 * -0.25 + -1x * -0.25) = x + 3(4 + -1x) + -2x x + (-3 + 0.25x) = x + 3(4 + -1x) + -2x Reorder the terms: -3 + x + 0.25x = x + 3(4 + -1x) + -2x Combine like terms: x + 0.25x = 1.25x -3 + 1.25x = x + 3(4 + -1x) + -2x -3 + 1.25x = x + (4 * 3 + -1x * 3) + -2x -3 + 1.25x = x + (12 + -3x) + -2x Reorder the terms: -3 + 1.25x = 12 + x + -3x + -2x Combine like terms: x + -3x = -2x -3 + 1.25x = 12 + -2x + -2x Combine like terms: -2x + -2x = -4x -3 + 1.25x = 12 + -4x Solving -3 + 1.25x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 1.25x + 4x = 12 + -4x + 4x Combine like terms: 1.25x + 4x = 5.25x -3 + 5.25x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 5.25x = 12 + 0 -3 + 5.25x = 12 Add '3' to each side of the equation. -3 + 3 + 5.25x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5.25x = 12 + 3 5.25x = 12 + 3 Combine like terms: 12 + 3 = 15 5.25x = 15 Divide each side by '5.25'. x = 2.857142857 Simplifying x = 2.857142857
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