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Simplifying x + y + 578 = 78(7) + -1x Reorder the terms: 578 + x + y = 78(7) + -1x Multiply 78 * 7 578 + x + y = 546 + -1x Solving 578 + x + y = 546 + -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. 578 + x + x + y = 546 + -1x + x Combine like terms: x + x = 2x 578 + 2x + y = 546 + -1x + x Combine like terms: -1x + x = 0 578 + 2x + y = 546 + 0 578 + 2x + y = 546 Add '-578' to each side of the equation. 578 + 2x + -578 + y = 546 + -578 Reorder the terms: 578 + -578 + 2x + y = 546 + -578 Combine like terms: 578 + -578 = 0 0 + 2x + y = 546 + -578 2x + y = 546 + -578 Combine like terms: 546 + -578 = -32 2x + y = -32 Add '-1y' to each side of the equation. 2x + y + -1y = -32 + -1y Combine like terms: y + -1y = 0 2x + 0 = -32 + -1y 2x = -32 + -1y Divide each side by '2'. x = -16 + -0.5y Simplifying x = -16 + -0.5y
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