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Simplifying y + -4x + 7 = x + 1 Reorder the terms: 7 + -4x + y = x + 1 Reorder the terms: 7 + -4x + y = 1 + x Solving 7 + -4x + y = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -4x + -1x + y = 1 + x + -1x Combine like terms: -4x + -1x = -5x 7 + -5x + y = 1 + x + -1x Combine like terms: x + -1x = 0 7 + -5x + y = 1 + 0 7 + -5x + y = 1 Add '-7' to each side of the equation. 7 + -5x + -7 + y = 1 + -7 Reorder the terms: 7 + -7 + -5x + y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -5x + y = 1 + -7 -5x + y = 1 + -7 Combine like terms: 1 + -7 = -6 -5x + y = -6 Add '-1y' to each side of the equation. -5x + y + -1y = -6 + -1y Combine like terms: y + -1y = 0 -5x + 0 = -6 + -1y -5x = -6 + -1y Divide each side by '-5'. x = 1.2 + 0.2y Simplifying x = 1.2 + 0.2y
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