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Simplifying 0.3(x + -2) = 0.5(6 + -1x) Reorder the terms: 0.3(-2 + x) = 0.5(6 + -1x) (-2 * 0.3 + x * 0.3) = 0.5(6 + -1x) (-0.6 + 0.3x) = 0.5(6 + -1x) -0.6 + 0.3x = (6 * 0.5 + -1x * 0.5) -0.6 + 0.3x = (3 + -0.5x) Solving -0.6 + 0.3x = 3 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -0.6 + 0.3x + 0.5x = 3 + -0.5x + 0.5x Combine like terms: 0.3x + 0.5x = 0.8x -0.6 + 0.8x = 3 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.6 + 0.8x = 3 + 0.0 -0.6 + 0.8x = 3 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.8x = 3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.8x = 3 + 0.6 0.8x = 3 + 0.6 Combine like terms: 3 + 0.6 = 3.6 0.8x = 3.6 Divide each side by '0.8'. x = 4.5 Simplifying x = 4.5
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