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Simplifying 0.5x + -0.2(8 + -5x) = -0.7(x + -9) 0.5x + (8 * -0.2 + -5x * -0.2) = -0.7(x + -9) 0.5x + (-1.6 + 1x) = -0.7(x + -9) Reorder the terms: -1.6 + 0.5x + 1x = -0.7(x + -9) Combine like terms: 0.5x + 1x = 1.5x -1.6 + 1.5x = -0.7(x + -9) Reorder the terms: -1.6 + 1.5x = -0.7(-9 + x) -1.6 + 1.5x = (-9 * -0.7 + x * -0.7) -1.6 + 1.5x = (6.3 + -0.7x) Solving -1.6 + 1.5x = 6.3 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. -1.6 + 1.5x + 0.7x = 6.3 + -0.7x + 0.7x Combine like terms: 1.5x + 0.7x = 2.2x -1.6 + 2.2x = 6.3 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -1.6 + 2.2x = 6.3 + 0.0 -1.6 + 2.2x = 6.3 Add '1.6' to each side of the equation. -1.6 + 1.6 + 2.2x = 6.3 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 2.2x = 6.3 + 1.6 2.2x = 6.3 + 1.6 Combine like terms: 6.3 + 1.6 = 7.9 2.2x = 7.9 Divide each side by '2.2'. x = 3.590909091 Simplifying x = 3.590909091
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