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Simplifying 0.5(2x + -4) = 0.3(6x + -9) Reorder the terms: 0.5(-4 + 2x) = 0.3(6x + -9) (-4 * 0.5 + 2x * 0.5) = 0.3(6x + -9) (-2 + 1x) = 0.3(6x + -9) Reorder the terms: -2 + 1x = 0.3(-9 + 6x) -2 + 1x = (-9 * 0.3 + 6x * 0.3) -2 + 1x = (-2.7 + 1.8x) Solving -2 + 1x = -2.7 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. -2 + 1x + -1.8x = -2.7 + 1.8x + -1.8x Combine like terms: 1x + -1.8x = -0.8x -2 + -0.8x = -2.7 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 -2 + -0.8x = -2.7 + 0.0 -2 + -0.8x = -2.7 Add '2' to each side of the equation. -2 + 2 + -0.8x = -2.7 + 2 Combine like terms: -2 + 2 = 0 0 + -0.8x = -2.7 + 2 -0.8x = -2.7 + 2 Combine like terms: -2.7 + 2 = -0.7 -0.8x = -0.7 Divide each side by '-0.8'. x = 0.875 Simplifying x = 0.875
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