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Simplifying 0.4(x + -68) + 0.25(100 + -1x) = 33(68) Reorder the terms: 0.4(-68 + x) + 0.25(100 + -1x) = 33(68) (-68 * 0.4 + x * 0.4) + 0.25(100 + -1x) = 33(68) (-27.2 + 0.4x) + 0.25(100 + -1x) = 33(68) -27.2 + 0.4x + (100 * 0.25 + -1x * 0.25) = 33(68) -27.2 + 0.4x + (25 + -0.25x) = 33(68) Reorder the terms: -27.2 + 25 + 0.4x + -0.25x = 33(68) Combine like terms: -27.2 + 25 = -2.2 -2.2 + 0.4x + -0.25x = 33(68) Combine like terms: 0.4x + -0.25x = 0.15x -2.2 + 0.15x = 33(68) Multiply 33 * 68 -2.2 + 0.15x = 2244 Solving -2.2 + 0.15x = 2244 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.2' to each side of the equation. -2.2 + 2.2 + 0.15x = 2244 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + 0.15x = 2244 + 2.2 0.15x = 2244 + 2.2 Combine like terms: 2244 + 2.2 = 2246.2 0.15x = 2246.2 Divide each side by '0.15'. x = 14974.66667 Simplifying x = 14974.66667
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