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Simplifying 0.3(9x + -27) = 0.5(4x + -6) Reorder the terms: 0.3(-27 + 9x) = 0.5(4x + -6) (-27 * 0.3 + 9x * 0.3) = 0.5(4x + -6) (-8.1 + 2.7x) = 0.5(4x + -6) Reorder the terms: -8.1 + 2.7x = 0.5(-6 + 4x) -8.1 + 2.7x = (-6 * 0.5 + 4x * 0.5) -8.1 + 2.7x = (-3 + 2x) Solving -8.1 + 2.7x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8.1 + 2.7x + -2x = -3 + 2x + -2x Combine like terms: 2.7x + -2x = 0.7x -8.1 + 0.7x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -8.1 + 0.7x = -3 + 0 -8.1 + 0.7x = -3 Add '8.1' to each side of the equation. -8.1 + 8.1 + 0.7x = -3 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 0.7x = -3 + 8.1 0.7x = -3 + 8.1 Combine like terms: -3 + 8.1 = 5.1 0.7x = 5.1 Divide each side by '0.7'. x = 7.285714286 Simplifying x = 7.285714286
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