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Simplifying 0.4(7x + 1y) = 1.8 + -1(x + 2) (7x * 0.4 + 1y * 0.4) = 1.8 + -1(x + 2) (2.8x + 0.4y) = 1.8 + -1(x + 2) Reorder the terms: 2.8x + 0.4y = 1.8 + -1(2 + x) 2.8x + 0.4y = 1.8 + (2 * -1 + x * -1) 2.8x + 0.4y = 1.8 + (-2 + -1x) Combine like terms: 1.8 + -2 = -0.2 2.8x + 0.4y = -0.2 + -1x Solving 2.8x + 0.4y = -0.2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2.8x + x + 0.4y = -0.2 + -1x + x Combine like terms: 2.8x + x = 3.8x 3.8x + 0.4y = -0.2 + -1x + x Combine like terms: -1x + x = 0 3.8x + 0.4y = -0.2 + 0 3.8x + 0.4y = -0.2 Add '-0.4y' to each side of the equation. 3.8x + 0.4y + -0.4y = -0.2 + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 3.8x + 0.0 = -0.2 + -0.4y 3.8x = -0.2 + -0.4y Divide each side by '3.8'. x = -0.05263157895 + -0.1052631579y Simplifying x = -0.05263157895 + -0.1052631579y
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