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Simplifying 0.5(3x + -4) = 0.75(x + -2) + 4 Reorder the terms: 0.5(-4 + 3x) = 0.75(x + -2) + 4 (-4 * 0.5 + 3x * 0.5) = 0.75(x + -2) + 4 (-2 + 1.5x) = 0.75(x + -2) + 4 Reorder the terms: -2 + 1.5x = 0.75(-2 + x) + 4 -2 + 1.5x = (-2 * 0.75 + x * 0.75) + 4 -2 + 1.5x = (-1.5 + 0.75x) + 4 Reorder the terms: -2 + 1.5x = -1.5 + 4 + 0.75x Combine like terms: -1.5 + 4 = 2.5 -2 + 1.5x = 2.5 + 0.75x Solving -2 + 1.5x = 2.5 + 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 = 2.5 + 0.75x + -0.75x Combine like terms: 1.5x + -0.75x = 0.75x -2 + 0.75x = 2.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -2 + 0.75x = 2.5 + 0.00 -2 + 0.75x = 2.5 Add '2' to each side of the equation. -2 + 2 + 0.75x = 2.5 + 2 Combine like terms: -2 + 2 = 0 0 + 0.75x = 2.5 + 2 0.75x = 2.5 + 2 Combine like terms: 2.5 + 2 = 4.5 0.75x = 4.5 Divide each side by '0.75'. x = 6 Simplifying x = 6
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