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Simplifying 0.5(4x + 6) = 0.3(9x + -24) Reorder the terms: 0.5(6 + 4x) = 0.3(9x + -24) (6 * 0.5 + 4x * 0.5) = 0.3(9x + -24) (3 + 2x) = 0.3(9x + -24) Reorder the terms: 3 + 2x = 0.3(-24 + 9x) 3 + 2x = (-24 * 0.3 + 9x * 0.3) 3 + 2x = (-7.2 + 2.7x) Solving 3 + 2x = -7.2 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 3 + 2x + -2.7x = -7.2 + 2.7x + -2.7x Combine like terms: 2x + -2.7x = -0.7x 3 + -0.7x = -7.2 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 3 + -0.7x = -7.2 + 0.0 3 + -0.7x = -7.2 Add '-3' to each side of the equation. 3 + -3 + -0.7x = -7.2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.7x = -7.2 + -3 -0.7x = -7.2 + -3 Combine like terms: -7.2 + -3 = -10.2 -0.7x = -10.2 Divide each side by '-0.7'. x = 14.57142857 Simplifying x = 14.57142857
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