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Simplifying 0.8(9x + 7) = 2.7(x + -3) Reorder the terms: 0.8(7 + 9x) = 2.7(x + -3) (7 * 0.8 + 9x * 0.8) = 2.7(x + -3) (5.6 + 7.2x) = 2.7(x + -3) Reorder the terms: 5.6 + 7.2x = 2.7(-3 + x) 5.6 + 7.2x = (-3 * 2.7 + x * 2.7) 5.6 + 7.2x = (-8.1 + 2.7x) Solving 5.6 + 7.2x = -8.1 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 5.6 + 7.2x + -2.7x = -8.1 + 2.7x + -2.7x Combine like terms: 7.2x + -2.7x = 4.5x 5.6 + 4.5x = -8.1 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 5.6 + 4.5x = -8.1 + 0.0 5.6 + 4.5x = -8.1 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 4.5x = -8.1 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 4.5x = -8.1 + -5.6 4.5x = -8.1 + -5.6 Combine like terms: -8.1 + -5.6 = -13.7 4.5x = -13.7 Divide each side by '4.5'. x = -3.044444444 Simplifying x = -3.044444444
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