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Simplifying 2.2(7 + -1x) = -0.5(9 + -1x) (7 * 2.2 + -1x * 2.2) = -0.5(9 + -1x) (15.4 + -2.2x) = -0.5(9 + -1x) 15.4 + -2.2x = (9 * -0.5 + -1x * -0.5) 15.4 + -2.2x = (-4.5 + 0.5x) Solving 15.4 + -2.2x = -4.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 15.4 + -2.2x + -0.5x = -4.5 + 0.5x + -0.5x Combine like terms: -2.2x + -0.5x = -2.7x 15.4 + -2.7x = -4.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 15.4 + -2.7x = -4.5 + 0.0 15.4 + -2.7x = -4.5 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -2.7x = -4.5 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -2.7x = -4.5 + -15.4 -2.7x = -4.5 + -15.4 Combine like terms: -4.5 + -15.4 = -19.9 -2.7x = -19.9 Divide each side by '-2.7'. x = 7.37037037 Simplifying x = 7.37037037
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