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Simplifying 0.3(2x + -0.6) = 0.5x + -2x + 2.7 Reorder the terms: 0.3(-0.6 + 2x) = 0.5x + -2x + 2.7 (-0.6 * 0.3 + 2x * 0.3) = 0.5x + -2x + 2.7 (-0.18 + 0.6x) = 0.5x + -2x + 2.7 Reorder the terms: -0.18 + 0.6x = 2.7 + 0.5x + -2x Combine like terms: 0.5x + -2x = -1.5x -0.18 + 0.6x = 2.7 + -1.5x Solving -0.18 + 0.6x = 2.7 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -0.18 + 0.6x + 1.5x = 2.7 + -1.5x + 1.5x Combine like terms: 0.6x + 1.5x = 2.1x -0.18 + 2.1x = 2.7 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -0.18 + 2.1x = 2.7 + 0.0 -0.18 + 2.1x = 2.7 Add '0.18' to each side of the equation. -0.18 + 0.18 + 2.1x = 2.7 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 2.1x = 2.7 + 0.18 2.1x = 2.7 + 0.18 Combine like terms: 2.7 + 0.18 = 2.88 2.1x = 2.88 Divide each side by '2.1'. x = 1.371428571 Simplifying x = 1.371428571
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