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Simplifying 0.3x + -0.2(3 + -5x) = -0.5(x + -6) 0.3x + (3 * -0.2 + -5x * -0.2) = -0.5(x + -6) 0.3x + (-0.6 + 1x) = -0.5(x + -6) Reorder the terms: -0.6 + 0.3x + 1x = -0.5(x + -6) Combine like terms: 0.3x + 1x = 1.3x -0.6 + 1.3x = -0.5(x + -6) Reorder the terms: -0.6 + 1.3x = -0.5(-6 + x) -0.6 + 1.3x = (-6 * -0.5 + x * -0.5) -0.6 + 1.3x = (3 + -0.5x) Solving -0.6 + 1.3x = 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 + 1.3x + 0.5x = 3 + -0.5x + 0.5x Combine like terms: 1.3x + 0.5x = 1.8x -0.6 + 1.8x = 3 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.6 + 1.8x = 3 + 0.0 -0.6 + 1.8x = 3 Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.8x = 3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.8x = 3 + 0.6 1.8x = 3 + 0.6 Combine like terms: 3 + 0.6 = 3.6 1.8x = 3.6 Divide each side by '1.8'. x = 2 Simplifying x = 2
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