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Simplifying 0.5(6x + 5) = 0.75(8x + -4) Reorder the terms: 0.5(5 + 6x) = 0.75(8x + -4) (5 * 0.5 + 6x * 0.5) = 0.75(8x + -4) (2.5 + 3x) = 0.75(8x + -4) Reorder the terms: 2.5 + 3x = 0.75(-4 + 8x) 2.5 + 3x = (-4 * 0.75 + 8x * 0.75) 2.5 + 3x = (-3 + 6x) Solving 2.5 + 3x = -3 + 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. 2.5 + 3x + -6x = -3 + 6x + -6x Combine like terms: 3x + -6x = -3x 2.5 + -3x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 2.5 + -3x = -3 + 0 2.5 + -3x = -3 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -3x = -3 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -3x = -3 + -2.5 -3x = -3 + -2.5 Combine like terms: -3 + -2.5 = -5.5 -3x = -5.5 Divide each side by '-3'. x = 1.833333333 Simplifying x = 1.833333333
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