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Simplifying 0.5(3x + 4) = 0.75(x + -8) Reorder the terms: 0.5(4 + 3x) = 0.75(x + -8) (4 * 0.5 + 3x * 0.5) = 0.75(x + -8) (2 + 1.5x) = 0.75(x + -8) Reorder the terms: 2 + 1.5x = 0.75(-8 + x) 2 + 1.5x = (-8 * 0.75 + x * 0.75) 2 + 1.5x = (-6 + 0.75x) Solving 2 + 1.5x = -6 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 2 + 1.5x + -0.75x = -6 + 0.75x + -0.75x Combine like terms: 1.5x + -0.75x = 0.75x 2 + 0.75x = -6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 2 + 0.75x = -6 + 0.00 2 + 0.75x = -6 Add '-2' to each side of the equation. 2 + -2 + 0.75x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.75x = -6 + -2 0.75x = -6 + -2 Combine like terms: -6 + -2 = -8 0.75x = -8 Divide each side by '0.75'. x = -10.66666667 Simplifying x = -10.66666667
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