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Simplifying 0.2(x + -3) = x + 0.6 Reorder the terms: 0.2(-3 + x) = x + 0.6 (-3 * 0.2 + x * 0.2) = x + 0.6 (-0.6 + 0.2x) = x + 0.6 Reorder the terms: -0.6 + 0.2x = 0.6 + x Solving -0.6 + 0.2x = 0.6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.6 + 0.2x + -1x = 0.6 + x + -1x Combine like terms: 0.2x + -1x = -0.8x -0.6 + -0.8x = 0.6 + x + -1x Combine like terms: x + -1x = 0 -0.6 + -0.8x = 0.6 + 0 -0.6 + -0.8x = 0.6 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.8x = 0.6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.8x = 0.6 + 0.6 -0.8x = 0.6 + 0.6 Combine like terms: 0.6 + 0.6 = 1.2 -0.8x = 1.2 Divide each side by '-0.8'. x = -1.5 Simplifying x = -1.5
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