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Simplifying 0.5(4x + -8) = 0.3(3x + 9) Reorder the terms: 0.5(-8 + 4x) = 0.3(3x + 9) (-8 * 0.5 + 4x * 0.5) = 0.3(3x + 9) (-4 + 2x) = 0.3(3x + 9) Reorder the terms: -4 + 2x = 0.3(9 + 3x) -4 + 2x = (9 * 0.3 + 3x * 0.3) -4 + 2x = (2.7 + 0.9x) Solving -4 + 2x = 2.7 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -4 + 2x + -0.9x = 2.7 + 0.9x + -0.9x Combine like terms: 2x + -0.9x = 1.1x -4 + 1.1x = 2.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -4 + 1.1x = 2.7 + 0.0 -4 + 1.1x = 2.7 Add '4' to each side of the equation. -4 + 4 + 1.1x = 2.7 + 4 Combine like terms: -4 + 4 = 0 0 + 1.1x = 2.7 + 4 1.1x = 2.7 + 4 Combine like terms: 2.7 + 4 = 6.7 1.1x = 6.7 Divide each side by '1.1'. x = 6.090909091 Simplifying x = 6.090909091
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