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Simplifying 0.75(4x + -24) = -2(4x + 5) Reorder the terms: 0.75(-24 + 4x) = -2(4x + 5) (-24 * 0.75 + 4x * 0.75) = -2(4x + 5) (-18 + 3x) = -2(4x + 5) Reorder the terms: -18 + 3x = -2(5 + 4x) -18 + 3x = (5 * -2 + 4x * -2) -18 + 3x = (-10 + -8x) Solving -18 + 3x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + 3x + 8x = -10 + -8x + 8x Combine like terms: 3x + 8x = 11x -18 + 11x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + 11x = -10 + 0 -18 + 11x = -10 Add '18' to each side of the equation. -18 + 18 + 11x = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = -10 + 18 11x = -10 + 18 Combine like terms: -10 + 18 = 8 11x = 8 Divide each side by '11'. x = 0.7272727273 Simplifying x = 0.7272727273
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