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Simplifying 0.5x + -1y = 7(x + -0.2) + -1 + y Reorder the terms: 0.5x + -1y = 7(-0.2 + x) + -1 + y 0.5x + -1y = (-0.2 * 7 + x * 7) + -1 + y 0.5x + -1y = (-1.4 + 7x) + -1 + y Reorder the terms: 0.5x + -1y = -1.4 + -1 + 7x + y Combine like terms: -1.4 + -1 = -2.4 0.5x + -1y = -2.4 + 7x + y Solving 0.5x + -1y = -2.4 + 7x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0.5x + -7x + -1y = -2.4 + 7x + -7x + y Combine like terms: 0.5x + -7x = -6.5x -6.5x + -1y = -2.4 + 7x + -7x + y Combine like terms: 7x + -7x = 0 -6.5x + -1y = -2.4 + 0 + y -6.5x + -1y = -2.4 + y Add 'y' to each side of the equation. -6.5x + -1y + y = -2.4 + y + y Combine like terms: -1y + y = 0 -6.5x + 0 = -2.4 + y + y -6.5x = -2.4 + y + y Combine like terms: y + y = 2y -6.5x = -2.4 + 2y Divide each side by '-6.5'. x = 0.3692307692 + -0.3076923077y Simplifying x = 0.3692307692 + -0.3076923077y
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