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Simplifying 18(x + y) + 56 = 9(x + 2y) + 92 (x * 18 + y * 18) + 56 = 9(x + 2y) + 92 (18x + 18y) + 56 = 9(x + 2y) + 92 Reorder the terms: 56 + 18x + 18y = 9(x + 2y) + 92 56 + 18x + 18y = (x * 9 + 2y * 9) + 92 56 + 18x + 18y = (9x + 18y) + 92 Reorder the terms: 56 + 18x + 18y = 92 + 9x + 18y Add '-18y' to each side of the equation. 56 + 18x + 18y + -18y = 92 + 9x + 18y + -18y Combine like terms: 18y + -18y = 0 56 + 18x + 0 = 92 + 9x + 18y + -18y 56 + 18x = 92 + 9x + 18y + -18y Combine like terms: 18y + -18y = 0 56 + 18x = 92 + 9x + 0 56 + 18x = 92 + 9x Solving 56 + 18x = 92 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 56 + 18x + -9x = 92 + 9x + -9x Combine like terms: 18x + -9x = 9x 56 + 9x = 92 + 9x + -9x Combine like terms: 9x + -9x = 0 56 + 9x = 92 + 0 56 + 9x = 92 Add '-56' to each side of the equation. 56 + -56 + 9x = 92 + -56 Combine like terms: 56 + -56 = 0 0 + 9x = 92 + -56 9x = 92 + -56 Combine like terms: 92 + -56 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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