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Simplifying 11.1x + -1.725 = -0.51(3x + -9) Reorder the terms: -1.725 + 11.1x = -0.51(3x + -9) Reorder the terms: -1.725 + 11.1x = -0.51(-9 + 3x) -1.725 + 11.1x = (-9 * -0.51 + 3x * -0.51) -1.725 + 11.1x = (4.59 + -1.53x) Solving -1.725 + 11.1x = 4.59 + -1.53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.53x' to each side of the equation. -1.725 + 11.1x + 1.53x = 4.59 + -1.53x + 1.53x Combine like terms: 11.1x + 1.53x = 12.63x -1.725 + 12.63x = 4.59 + -1.53x + 1.53x Combine like terms: -1.53x + 1.53x = 0.00 -1.725 + 12.63x = 4.59 + 0.00 -1.725 + 12.63x = 4.59 Add '1.725' to each side of the equation. -1.725 + 1.725 + 12.63x = 4.59 + 1.725 Combine like terms: -1.725 + 1.725 = 0.000 0.000 + 12.63x = 4.59 + 1.725 12.63x = 4.59 + 1.725 Combine like terms: 4.59 + 1.725 = 6.315 12.63x = 6.315 Divide each side by '12.63'. x = 0.5 Simplifying x = 0.5
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