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Simplifying 0.5(-4 + 6x) = 0.3333333333x + 0.666666666666(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.3333333333x + 0.666666666666(x + 9) (-2 + 3x) = 0.3333333333x + 0.666666666666(x + 9) Reorder the terms: -2 + 3x = 0.3333333333x + 0.666666666666(9 + x) -2 + 3x = 0.3333333333x + (9 * 0.666666666666 + x * 0.666666666666) -2 + 3x = 0.3333333333x + (6 + 0.666666666666x) Reorder the terms: -2 + 3x = 6 + 0.3333333333x + 0.666666666666x Combine like terms: 0.3333333333x + 0.666666666666x = 0.999999999966x -2 + 3x = 6 + 0.999999999966x Solving -2 + 3x = 6 + 0.999999999966x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.999999999966x' to each side of the equation. -2 + 3x + -0.999999999966x = 6 + 0.999999999966x + -0.999999999966x Combine like terms: 3x + -0.999999999966x = 2.000000000034x -2 + 2.000000000034x = 6 + 0.999999999966x + -0.999999999966x Combine like terms: 0.999999999966x + -0.999999999966x = 0.000000000000 -2 + 2.000000000034x = 6 + 0.000000000000 -2 + 2.000000000034x = 6 Add '2' to each side of the equation. -2 + 2 + 2.000000000034x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2.000000000034x = 6 + 2 2.000000000034x = 6 + 2 Combine like terms: 6 + 2 = 8 2.000000000034x = 8 Divide each side by '2.000000000034'. x = 4 Simplifying x = 4
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