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Simplifying 0.5(18x + 14) + -11 = -0.3333(6x + -9) Reorder the terms: 0.5(14 + 18x) + -11 = -0.3333(6x + -9) (14 * 0.5 + 18x * 0.5) + -11 = -0.3333(6x + -9) (7 + 9x) + -11 = -0.3333(6x + -9) Reorder the terms: 7 + -11 + 9x = -0.3333(6x + -9) Combine like terms: 7 + -11 = -4 -4 + 9x = -0.3333(6x + -9) Reorder the terms: -4 + 9x = -0.3333(-9 + 6x) -4 + 9x = (-9 * -0.3333 + 6x * -0.3333) -4 + 9x = (2.9997 + -1.9998x) Solving -4 + 9x = 2.9997 + -1.9998x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9998x' to each side of the equation. -4 + 9x + 1.9998x = 2.9997 + -1.9998x + 1.9998x Combine like terms: 9x + 1.9998x = 10.9998x -4 + 10.9998x = 2.9997 + -1.9998x + 1.9998x Combine like terms: -1.9998x + 1.9998x = 0.0000 -4 + 10.9998x = 2.9997 + 0.0000 -4 + 10.9998x = 2.9997 Add '4' to each side of the equation. -4 + 4 + 10.9998x = 2.9997 + 4 Combine like terms: -4 + 4 = 0 0 + 10.9998x = 2.9997 + 4 10.9998x = 2.9997 + 4 Combine like terms: 2.9997 + 4 = 6.9997 10.9998x = 6.9997 Divide each side by '10.9998'. x = 0.6363479336 Simplifying x = 0.6363479336
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