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Simplifying 4(19 + -1x) + 10(19 + -1y) = 100 (19 * 4 + -1x * 4) + 10(19 + -1y) = 100 (76 + -4x) + 10(19 + -1y) = 100 76 + -4x + (19 * 10 + -1y * 10) = 100 76 + -4x + (190 + -10y) = 100 Reorder the terms: 76 + 190 + -4x + -10y = 100 Combine like terms: 76 + 190 = 266 266 + -4x + -10y = 100 Solving 266 + -4x + -10y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-266' to each side of the equation. 266 + -4x + -266 + -10y = 100 + -266 Reorder the terms: 266 + -266 + -4x + -10y = 100 + -266 Combine like terms: 266 + -266 = 0 0 + -4x + -10y = 100 + -266 -4x + -10y = 100 + -266 Combine like terms: 100 + -266 = -166 -4x + -10y = -166 Add '10y' to each side of the equation. -4x + -10y + 10y = -166 + 10y Combine like terms: -10y + 10y = 0 -4x + 0 = -166 + 10y -4x = -166 + 10y Divide each side by '-4'. x = 41.5 + -2.5y Simplifying x = 41.5 + -2.5y
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