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Simplifying 0.5(3x + 8) = 4(1.5x + -1.25) Reorder the terms: 0.5(8 + 3x) = 4(1.5x + -1.25) (8 * 0.5 + 3x * 0.5) = 4(1.5x + -1.25) (4 + 1.5x) = 4(1.5x + -1.25) Reorder the terms: 4 + 1.5x = 4(-1.25 + 1.5x) 4 + 1.5x = (-1.25 * 4 + 1.5x * 4) 4 + 1.5x = (-5 + 6x) Solving 4 + 1.5x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 1.5x + -6x = -5 + 6x + -6x Combine like terms: 1.5x + -6x = -4.5x 4 + -4.5x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4.5x = -5 + 0 4 + -4.5x = -5 Add '-4' to each side of the equation. 4 + -4 + -4.5x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -4.5x = -5 + -4 -4.5x = -5 + -4 Combine like terms: -5 + -4 = -9 -4.5x = -9 Divide each side by '-4.5'. x = 2 Simplifying x = 2
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