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Simplifying 0.5(3x + -2) = 0.02(4 + 3x) Reorder the terms: 0.5(-2 + 3x) = 0.02(4 + 3x) (-2 * 0.5 + 3x * 0.5) = 0.02(4 + 3x) (-1 + 1.5x) = 0.02(4 + 3x) -1 + 1.5x = (4 * 0.02 + 3x * 0.02) -1 + 1.5x = (0.08 + 0.06x) Solving -1 + 1.5x = 0.08 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. -1 + 1.5x + -0.06x = 0.08 + 0.06x + -0.06x Combine like terms: 1.5x + -0.06x = 1.44x -1 + 1.44x = 0.08 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 -1 + 1.44x = 0.08 + 0.00 -1 + 1.44x = 0.08 Add '1' to each side of the equation. -1 + 1 + 1.44x = 0.08 + 1 Combine like terms: -1 + 1 = 0 0 + 1.44x = 0.08 + 1 1.44x = 0.08 + 1 Combine like terms: 0.08 + 1 = 1.08 1.44x = 1.08 Divide each side by '1.44'. x = 0.75 Simplifying x = 0.75
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