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Simplifying 0.5x + -0.8(10 + -3x) = 0.9(x + -8) 0.5x + (10 * -0.8 + -3x * -0.8) = 0.9(x + -8) 0.5x + (-8 + 2.4x) = 0.9(x + -8) Reorder the terms: -8 + 0.5x + 2.4x = 0.9(x + -8) Combine like terms: 0.5x + 2.4x = 2.9x -8 + 2.9x = 0.9(x + -8) Reorder the terms: -8 + 2.9x = 0.9(-8 + x) -8 + 2.9x = (-8 * 0.9 + x * 0.9) -8 + 2.9x = (-7.2 + 0.9x) Solving -8 + 2.9x = -7.2 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -8 + 2.9x + -0.9x = -7.2 + 0.9x + -0.9x Combine like terms: 2.9x + -0.9x = 2x -8 + 2x = -7.2 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -8 + 2x = -7.2 + 0.0 -8 + 2x = -7.2 Add '8' to each side of the equation. -8 + 8 + 2x = -7.2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -7.2 + 8 2x = -7.2 + 8 Combine like terms: -7.2 + 8 = 0.8 2x = 0.8 Divide each side by '2'. x = 0.4 Simplifying x = 0.4
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