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Simplifying 3x + y + -18 = 5x + -1y + 148 Reorder the terms: -18 + 3x + y = 5x + -1y + 148 Reorder the terms: -18 + 3x + y = 148 + 5x + -1y Solving -18 + 3x + y = 148 + 5x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 3x + -5x + y = 148 + 5x + -5x + -1y Combine like terms: 3x + -5x = -2x -18 + -2x + y = 148 + 5x + -5x + -1y Combine like terms: 5x + -5x = 0 -18 + -2x + y = 148 + 0 + -1y -18 + -2x + y = 148 + -1y Add '18' to each side of the equation. -18 + -2x + 18 + y = 148 + 18 + -1y Reorder the terms: -18 + 18 + -2x + y = 148 + 18 + -1y Combine like terms: -18 + 18 = 0 0 + -2x + y = 148 + 18 + -1y -2x + y = 148 + 18 + -1y Combine like terms: 148 + 18 = 166 -2x + y = 166 + -1y Add '-1y' to each side of the equation. -2x + y + -1y = 166 + -1y + -1y Combine like terms: y + -1y = 0 -2x + 0 = 166 + -1y + -1y -2x = 166 + -1y + -1y Combine like terms: -1y + -1y = -2y -2x = 166 + -2y Divide each side by '-2'. x = -83 + y Simplifying x = -83 + y
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