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Simplifying 0.6(x + -1) = 0.5x + 3 + -0.2x Reorder the terms: 0.6(-1 + x) = 0.5x + 3 + -0.2x (-1 * 0.6 + x * 0.6) = 0.5x + 3 + -0.2x (-0.6 + 0.6x) = 0.5x + 3 + -0.2x Reorder the terms: -0.6 + 0.6x = 3 + 0.5x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -0.6 + 0.6x = 3 + 0.3x Solving -0.6 + 0.6x = 3 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -0.6 + 0.6x + -0.3x = 3 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x -0.6 + 0.3x = 3 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.6 + 0.3x = 3 + 0.0 -0.6 + 0.3x = 3 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.3x = 3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.3x = 3 + 0.6 0.3x = 3 + 0.6 Combine like terms: 3 + 0.6 = 3.6 0.3x = 3.6 Divide each side by '0.3'. x = 12 Simplifying x = 12
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