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Simplifying 0.5(x + -5) = 4(3x + -8) Reorder the terms: 0.5(-5 + x) = 4(3x + -8) (-5 * 0.5 + x * 0.5) = 4(3x + -8) (-2.5 + 0.5x) = 4(3x + -8) Reorder the terms: -2.5 + 0.5x = 4(-8 + 3x) -2.5 + 0.5x = (-8 * 4 + 3x * 4) -2.5 + 0.5x = (-32 + 12x) Solving -2.5 + 0.5x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2.5 + 0.5x + -12x = -32 + 12x + -12x Combine like terms: 0.5x + -12x = -11.5x -2.5 + -11.5x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -2.5 + -11.5x = -32 + 0 -2.5 + -11.5x = -32 Add '2.5' to each side of the equation. -2.5 + 2.5 + -11.5x = -32 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -11.5x = -32 + 2.5 -11.5x = -32 + 2.5 Combine like terms: -32 + 2.5 = -29.5 -11.5x = -29.5 Divide each side by '-11.5'. x = 2.565217391 Simplifying x = 2.565217391
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