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Simplifying 0.9x + -0.4(10 + -4x) = -0.5(x + -4) 0.9x + (10 * -0.4 + -4x * -0.4) = -0.5(x + -4) 0.9x + (-4 + 1.6x) = -0.5(x + -4) Reorder the terms: -4 + 0.9x + 1.6x = -0.5(x + -4) Combine like terms: 0.9x + 1.6x = 2.5x -4 + 2.5x = -0.5(x + -4) Reorder the terms: -4 + 2.5x = -0.5(-4 + x) -4 + 2.5x = (-4 * -0.5 + x * -0.5) -4 + 2.5x = (2 + -0.5x) Solving -4 + 2.5x = 2 + -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. -4 + 2.5x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 2.5x + 0.5x = 3x -4 + 3x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -4 + 3x = 2 + 0.0 -4 + 3x = 2 Add '4' to each side of the equation. -4 + 4 + 3x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 2 + 4 3x = 2 + 4 Combine like terms: 2 + 4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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