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Simplifying 0.94(5 + -1x) + 0.44(5 + -1y) = 3.7 (5 * 0.94 + -1x * 0.94) + 0.44(5 + -1y) = 3.7 (4.7 + -0.94x) + 0.44(5 + -1y) = 3.7 4.7 + -0.94x + (5 * 0.44 + -1y * 0.44) = 3.7 4.7 + -0.94x + (2.2 + -0.44y) = 3.7 Reorder the terms: 4.7 + 2.2 + -0.94x + -0.44y = 3.7 Combine like terms: 4.7 + 2.2 = 6.9 6.9 + -0.94x + -0.44y = 3.7 Solving 6.9 + -0.94x + -0.44y = 3.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9' to each side of the equation. 6.9 + -0.94x + -6.9 + -0.44y = 3.7 + -6.9 Reorder the terms: 6.9 + -6.9 + -0.94x + -0.44y = 3.7 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + -0.94x + -0.44y = 3.7 + -6.9 -0.94x + -0.44y = 3.7 + -6.9 Combine like terms: 3.7 + -6.9 = -3.2 -0.94x + -0.44y = -3.2 Add '0.44y' to each side of the equation. -0.94x + -0.44y + 0.44y = -3.2 + 0.44y Combine like terms: -0.44y + 0.44y = 0.00 -0.94x + 0.00 = -3.2 + 0.44y -0.94x = -3.2 + 0.44y Divide each side by '-0.94'. x = 3.404255319 + -0.4680851064y Simplifying x = 3.404255319 + -0.4680851064y
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