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Simplifying (8x + 2) + 10(y + 4) = 180 Reorder the terms: (2 + 8x) + 10(y + 4) = 180 Remove parenthesis around (2 + 8x) 2 + 8x + 10(y + 4) = 180 Reorder the terms: 2 + 8x + 10(4 + y) = 180 2 + 8x + (4 * 10 + y * 10) = 180 2 + 8x + (40 + 10y) = 180 Reorder the terms: 2 + 40 + 8x + 10y = 180 Combine like terms: 2 + 40 = 42 42 + 8x + 10y = 180 Solving 42 + 8x + 10y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 8x + -42 + 10y = 180 + -42 Reorder the terms: 42 + -42 + 8x + 10y = 180 + -42 Combine like terms: 42 + -42 = 0 0 + 8x + 10y = 180 + -42 8x + 10y = 180 + -42 Combine like terms: 180 + -42 = 138 8x + 10y = 138 Add '-10y' to each side of the equation. 8x + 10y + -10y = 138 + -10y Combine like terms: 10y + -10y = 0 8x + 0 = 138 + -10y 8x = 138 + -10y Divide each side by '8'. x = 17.25 + -1.25y Simplifying x = 17.25 + -1.25y
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