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Simplifying 4y + -3x + 1 = x + 9 Reorder the terms: 1 + -3x + 4y = x + 9 Reorder the terms: 1 + -3x + 4y = 9 + x Solving 1 + -3x + 4y = 9 + 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. 1 + -3x + -1x + 4y = 9 + x + -1x Combine like terms: -3x + -1x = -4x 1 + -4x + 4y = 9 + x + -1x Combine like terms: x + -1x = 0 1 + -4x + 4y = 9 + 0 1 + -4x + 4y = 9 Add '-1' to each side of the equation. 1 + -4x + -1 + 4y = 9 + -1 Reorder the terms: 1 + -1 + -4x + 4y = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4x + 4y = 9 + -1 -4x + 4y = 9 + -1 Combine like terms: 9 + -1 = 8 -4x + 4y = 8 Add '-4y' to each side of the equation. -4x + 4y + -4y = 8 + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = 8 + -4y -4x = 8 + -4y Divide each side by '-4'. x = -2 + y Simplifying x = -2 + y
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