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Simplifying 4.3 + -1(2.4x + 5.5) = 0.5(-3.6x + 1.25) Reorder the terms: 4.3 + -1(5.5 + 2.4x) = 0.5(-3.6x + 1.25) 4.3 + (5.5 * -1 + 2.4x * -1) = 0.5(-3.6x + 1.25) 4.3 + (-5.5 + -2.4x) = 0.5(-3.6x + 1.25) Combine like terms: 4.3 + -5.5 = -1.2 -1.2 + -2.4x = 0.5(-3.6x + 1.25) Reorder the terms: -1.2 + -2.4x = 0.5(1.25 + -3.6x) -1.2 + -2.4x = (1.25 * 0.5 + -3.6x * 0.5) -1.2 + -2.4x = (0.625 + -1.8x) Solving -1.2 + -2.4x = 0.625 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. -1.2 + -2.4x + 1.8x = 0.625 + -1.8x + 1.8x Combine like terms: -2.4x + 1.8x = -0.6x -1.2 + -0.6x = 0.625 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 -1.2 + -0.6x = 0.625 + 0.0 -1.2 + -0.6x = 0.625 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.6x = 0.625 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.6x = 0.625 + 1.2 -0.6x = 0.625 + 1.2 Combine like terms: 0.625 + 1.2 = 1.825 -0.6x = 1.825 Divide each side by '-0.6'. x = -3.041666667 Simplifying x = -3.041666667
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