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Simplifying (9y + -187) + (7x + -248) = (11y + -253) + (x + 44) Reorder the terms: (-187 + 9y) + (7x + -248) = (11y + -253) + (x + 44) Remove parenthesis around (-187 + 9y) -187 + 9y + (7x + -248) = (11y + -253) + (x + 44) Reorder the terms: -187 + 9y + (-248 + 7x) = (11y + -253) + (x + 44) Remove parenthesis around (-248 + 7x) -187 + 9y + -248 + 7x = (11y + -253) + (x + 44) Reorder the terms: -187 + -248 + 7x + 9y = (11y + -253) + (x + 44) Combine like terms: -187 + -248 = -435 -435 + 7x + 9y = (11y + -253) + (x + 44) Reorder the terms: -435 + 7x + 9y = (-253 + 11y) + (x + 44) Remove parenthesis around (-253 + 11y) -435 + 7x + 9y = -253 + 11y + (x + 44) Reorder the terms: -435 + 7x + 9y = -253 + 11y + (44 + x) Remove parenthesis around (44 + x) -435 + 7x + 9y = -253 + 11y + 44 + x Reorder the terms: -435 + 7x + 9y = -253 + 44 + x + 11y Combine like terms: -253 + 44 = -209 -435 + 7x + 9y = -209 + x + 11y Solving -435 + 7x + 9y = -209 + x + 11y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -435 + 7x + -1x + 9y = -209 + x + -1x + 11y Combine like terms: 7x + -1x = 6x -435 + 6x + 9y = -209 + x + -1x + 11y Combine like terms: x + -1x = 0 -435 + 6x + 9y = -209 + 0 + 11y -435 + 6x + 9y = -209 + 11y Add '435' to each side of the equation. -435 + 6x + 435 + 9y = -209 + 435 + 11y Reorder the terms: -435 + 435 + 6x + 9y = -209 + 435 + 11y Combine like terms: -435 + 435 = 0 0 + 6x + 9y = -209 + 435 + 11y 6x + 9y = -209 + 435 + 11y Combine like terms: -209 + 435 = 226 6x + 9y = 226 + 11y Add '-9y' to each side of the equation. 6x + 9y + -9y = 226 + 11y + -9y Combine like terms: 9y + -9y = 0 6x + 0 = 226 + 11y + -9y 6x = 226 + 11y + -9y Combine like terms: 11y + -9y = 2y 6x = 226 + 2y Divide each side by '6'. x = 37.66666667 + 0.3333333333y Simplifying x = 37.66666667 + 0.3333333333y
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