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Simplifying 3y + -1x + 8 = 2x + -4 Reorder the terms: 8 + -1x + 3y = 2x + -4 Reorder the terms: 8 + -1x + 3y = -4 + 2x Solving 8 + -1x + 3y = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -1x + -2x + 3y = -4 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x + 3y = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x + 3y = -4 + 0 8 + -3x + 3y = -4 Add '-8' to each side of the equation. 8 + -3x + -8 + 3y = -4 + -8 Reorder the terms: 8 + -8 + -3x + 3y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + 3y = -4 + -8 -3x + 3y = -4 + -8 Combine like terms: -4 + -8 = -12 -3x + 3y = -12 Add '-3y' to each side of the equation. -3x + 3y + -3y = -12 + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = -12 + -3y -3x = -12 + -3y Divide each side by '-3'. x = 4 + y Simplifying x = 4 + y
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