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Simplifying 0.20(x + -6) + 0.16x = 0.18y + -0.07(30) Reorder the terms: 0.20(-6 + x) + 0.16x = 0.18y + -0.07(30) (-6 * 0.20 + x * 0.20) + 0.16x = 0.18y + -0.07(30) (-1.2 + 0.20x) + 0.16x = 0.18y + -0.07(30) Combine like terms: 0.20x + 0.16x = 0.36x -1.2 + 0.36x = 0.18y + -0.07(30) Multiply -0.07 * 30 -1.2 + 0.36x = 0.18y + -2.1 Reorder the terms: -1.2 + 0.36x = -2.1 + 0.18y Solving -1.2 + 0.36x = -2.1 + 0.18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.36x = -2.1 + 1.2 + 0.18y Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.36x = -2.1 + 1.2 + 0.18y 0.36x = -2.1 + 1.2 + 0.18y Combine like terms: -2.1 + 1.2 = -0.9 0.36x = -0.9 + 0.18y Divide each side by '0.36'. x = -2.5 + 0.5y Simplifying x = -2.5 + 0.5y
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