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Simplifying 0.5(6x + -2) = 4 + 0.6x Reorder the terms: 0.5(-2 + 6x) = 4 + 0.6x (-2 * 0.5 + 6x * 0.5) = 4 + 0.6x (-1 + 3x) = 4 + 0.6x Solving -1 + 3x = 4 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -1 + 3x + -0.6x = 4 + 0.6x + -0.6x Combine like terms: 3x + -0.6x = 2.4x -1 + 2.4x = 4 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -1 + 2.4x = 4 + 0.0 -1 + 2.4x = 4 Add '1' to each side of the equation. -1 + 1 + 2.4x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 2.4x = 4 + 1 2.4x = 4 + 1 Combine like terms: 4 + 1 = 5 2.4x = 5 Divide each side by '2.4'. x = 2.083333333 Simplifying x = 2.083333333
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