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Simplifying 0.57(x + -3) + 0.83 = 0.16(x + 2) Reorder the terms: 0.57(-3 + x) + 0.83 = 0.16(x + 2) (-3 * 0.57 + x * 0.57) + 0.83 = 0.16(x + 2) (-1.71 + 0.57x) + 0.83 = 0.16(x + 2) Reorder the terms: -1.71 + 0.83 + 0.57x = 0.16(x + 2) Combine like terms: -1.71 + 0.83 = -0.88 -0.88 + 0.57x = 0.16(x + 2) Reorder the terms: -0.88 + 0.57x = 0.16(2 + x) -0.88 + 0.57x = (2 * 0.16 + x * 0.16) -0.88 + 0.57x = (0.32 + 0.16x) Solving -0.88 + 0.57x = 0.32 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. -0.88 + 0.57x + -0.16x = 0.32 + 0.16x + -0.16x Combine like terms: 0.57x + -0.16x = 0.41x -0.88 + 0.41x = 0.32 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 -0.88 + 0.41x = 0.32 + 0.00 -0.88 + 0.41x = 0.32 Add '0.88' to each side of the equation. -0.88 + 0.88 + 0.41x = 0.32 + 0.88 Combine like terms: -0.88 + 0.88 = 0.00 0.00 + 0.41x = 0.32 + 0.88 0.41x = 0.32 + 0.88 Combine like terms: 0.32 + 0.88 = 1.2 0.41x = 1.2 Divide each side by '0.41'. x = 2.926829268 Simplifying x = 2.926829268
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