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Simplifying 5(31x + -9) = -33(-3 + 4x) Reorder the terms: 5(-9 + 31x) = -33(-3 + 4x) (-9 * 5 + 31x * 5) = -33(-3 + 4x) (-45 + 155x) = -33(-3 + 4x) -45 + 155x = (-3 * -33 + 4x * -33) -45 + 155x = (99 + -132x) Solving -45 + 155x = 99 + -132x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '132x' to each side of the equation. -45 + 155x + 132x = 99 + -132x + 132x Combine like terms: 155x + 132x = 287x -45 + 287x = 99 + -132x + 132x Combine like terms: -132x + 132x = 0 -45 + 287x = 99 + 0 -45 + 287x = 99 Add '45' to each side of the equation. -45 + 45 + 287x = 99 + 45 Combine like terms: -45 + 45 = 0 0 + 287x = 99 + 45 287x = 99 + 45 Combine like terms: 99 + 45 = 144 287x = 144 Divide each side by '287'. x = 0.5017421603 Simplifying x = 0.5017421603
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