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Simplifying 7x + y = 7x + 100 + -1x + 30 + 4x Reorder the terms: 7x + y = 100 + 30 + 7x + -1x + 4x Combine like terms: 100 + 30 = 130 7x + y = 130 + 7x + -1x + 4x Combine like terms: 7x + -1x = 6x 7x + y = 130 + 6x + 4x Combine like terms: 6x + 4x = 10x 7x + y = 130 + 10x Solving 7x + y = 130 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7x + -10x + y = 130 + 10x + -10x Combine like terms: 7x + -10x = -3x -3x + y = 130 + 10x + -10x Combine like terms: 10x + -10x = 0 -3x + y = 130 + 0 -3x + y = 130 Add '-1y' to each side of the equation. -3x + y + -1y = 130 + -1y Combine like terms: y + -1y = 0 -3x + 0 = 130 + -1y -3x = 130 + -1y Divide each side by '-3'. x = -43.33333333 + 0.3333333333y Simplifying x = -43.33333333 + 0.3333333333y
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