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Simplifying 0.7x + -0.2(2 + -5x) = -0.5(x + -8) 0.7x + (2 * -0.2 + -5x * -0.2) = -0.5(x + -8) 0.7x + (-0.4 + 1x) = -0.5(x + -8) Reorder the terms: -0.4 + 0.7x + 1x = -0.5(x + -8) Combine like terms: 0.7x + 1x = 1.7x -0.4 + 1.7x = -0.5(x + -8) Reorder the terms: -0.4 + 1.7x = -0.5(-8 + x) -0.4 + 1.7x = (-8 * -0.5 + x * -0.5) -0.4 + 1.7x = (4 + -0.5x) Solving -0.4 + 1.7x = 4 + -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. -0.4 + 1.7x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 1.7x + 0.5x = 2.2x -0.4 + 2.2x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -0.4 + 2.2x = 4 + 0.0 -0.4 + 2.2x = 4 Add '0.4' to each side of the equation. -0.4 + 0.4 + 2.2x = 4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 2.2x = 4 + 0.4 2.2x = 4 + 0.4 Combine like terms: 4 + 0.4 = 4.4 2.2x = 4.4 Divide each side by '2.2'. x = 2 Simplifying x = 2
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