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Simplifying -1(0.79x + 0.227) = -1(2.09x + 0.838) Reorder the terms: -1(0.227 + 0.79x) = -1(2.09x + 0.838) (0.227 * -1 + 0.79x * -1) = -1(2.09x + 0.838) (-0.227 + -0.79x) = -1(2.09x + 0.838) Reorder the terms: -0.227 + -0.79x = -1(0.838 + 2.09x) -0.227 + -0.79x = (0.838 * -1 + 2.09x * -1) -0.227 + -0.79x = (-0.838 + -2.09x) Solving -0.227 + -0.79x = -0.838 + -2.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.09x' to each side of the equation. -0.227 + -0.79x + 2.09x = -0.838 + -2.09x + 2.09x Combine like terms: -0.79x + 2.09x = 1.3x -0.227 + 1.3x = -0.838 + -2.09x + 2.09x Combine like terms: -2.09x + 2.09x = 0.00 -0.227 + 1.3x = -0.838 + 0.00 -0.227 + 1.3x = -0.838 Add '0.227' to each side of the equation. -0.227 + 0.227 + 1.3x = -0.838 + 0.227 Combine like terms: -0.227 + 0.227 = 0.000 0.000 + 1.3x = -0.838 + 0.227 1.3x = -0.838 + 0.227 Combine like terms: -0.838 + 0.227 = -0.611 1.3x = -0.611 Divide each side by '1.3'. x = -0.47 Simplifying x = -0.47
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