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Simplifying 0.6x + -0.4(17 + -5x) = -0.5(x + -5) 0.6x + (17 * -0.4 + -5x * -0.4) = -0.5(x + -5) 0.6x + (-6.8 + 2x) = -0.5(x + -5) Reorder the terms: -6.8 + 0.6x + 2x = -0.5(x + -5) Combine like terms: 0.6x + 2x = 2.6x -6.8 + 2.6x = -0.5(x + -5) Reorder the terms: -6.8 + 2.6x = -0.5(-5 + x) -6.8 + 2.6x = (-5 * -0.5 + x * -0.5) -6.8 + 2.6x = (2.5 + -0.5x) Solving -6.8 + 2.6x = 2.5 + -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. -6.8 + 2.6x + 0.5x = 2.5 + -0.5x + 0.5x Combine like terms: 2.6x + 0.5x = 3.1x -6.8 + 3.1x = 2.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -6.8 + 3.1x = 2.5 + 0.0 -6.8 + 3.1x = 2.5 Add '6.8' to each side of the equation. -6.8 + 6.8 + 3.1x = 2.5 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + 3.1x = 2.5 + 6.8 3.1x = 2.5 + 6.8 Combine like terms: 2.5 + 6.8 = 9.3 3.1x = 9.3 Divide each side by '3.1'. x = 3 Simplifying x = 3
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