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Simplifying 0.5(4x + 6) = 0.33(9x + -24) Reorder the terms: 0.5(6 + 4x) = 0.33(9x + -24) (6 * 0.5 + 4x * 0.5) = 0.33(9x + -24) (3 + 2x) = 0.33(9x + -24) Reorder the terms: 3 + 2x = 0.33(-24 + 9x) 3 + 2x = (-24 * 0.33 + 9x * 0.33) 3 + 2x = (-7.92 + 2.97x) Solving 3 + 2x = -7.92 + 2.97x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.97x' to each side of the equation. 3 + 2x + -2.97x = -7.92 + 2.97x + -2.97x Combine like terms: 2x + -2.97x = -0.97x 3 + -0.97x = -7.92 + 2.97x + -2.97x Combine like terms: 2.97x + -2.97x = 0.00 3 + -0.97x = -7.92 + 0.00 3 + -0.97x = -7.92 Add '-3' to each side of the equation. 3 + -3 + -0.97x = -7.92 + -3 Combine like terms: 3 + -3 = 0 0 + -0.97x = -7.92 + -3 -0.97x = -7.92 + -3 Combine like terms: -7.92 + -3 = -10.92 -0.97x = -10.92 Divide each side by '-0.97'. x = 11.25773196 Simplifying x = 11.25773196
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