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Simplifying 0.09x + -61 = -0.13(x + 300) Reorder the terms: -61 + 0.09x = -0.13(x + 300) Reorder the terms: -61 + 0.09x = -0.13(300 + x) -61 + 0.09x = (300 * -0.13 + x * -0.13) -61 + 0.09x = (-39 + -0.13x) Solving -61 + 0.09x = -39 + -0.13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.13x' to each side of the equation. -61 + 0.09x + 0.13x = -39 + -0.13x + 0.13x Combine like terms: 0.09x + 0.13x = 0.22x -61 + 0.22x = -39 + -0.13x + 0.13x Combine like terms: -0.13x + 0.13x = 0.00 -61 + 0.22x = -39 + 0.00 -61 + 0.22x = -39 Add '61' to each side of the equation. -61 + 61 + 0.22x = -39 + 61 Combine like terms: -61 + 61 = 0 0 + 0.22x = -39 + 61 0.22x = -39 + 61 Combine like terms: -39 + 61 = 22 0.22x = 22 Divide each side by '0.22'. x = 100 Simplifying x = 100
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