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Simplifying 5y + -15 + 6 = 5y + 8 + -1x + 17 Reorder the terms: -15 + 6 + 5y = 5y + 8 + -1x + 17 Combine like terms: -15 + 6 = -9 -9 + 5y = 5y + 8 + -1x + 17 Reorder the terms: -9 + 5y = 8 + 17 + -1x + 5y Combine like terms: 8 + 17 = 25 -9 + 5y = 25 + -1x + 5y Add '-5y' to each side of the equation. -9 + 5y + -5y = 25 + -1x + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + 0 = 25 + -1x + 5y + -5y -9 = 25 + -1x + 5y + -5y Combine like terms: 5y + -5y = 0 -9 = 25 + -1x + 0 -9 = 25 + -1x Solving -9 = 25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + x = 25 + -1x + x Combine like terms: -1x + x = 0 -9 + x = 25 + 0 -9 + x = 25 Add '9' to each side of the equation. -9 + 9 + x = 25 + 9 Combine like terms: -9 + 9 = 0 0 + x = 25 + 9 x = 25 + 9 Combine like terms: 25 + 9 = 34 x = 34 Simplifying x = 34
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