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Simplifying 2y + -5x + 2y + 8y = -1(x + 3) + 2 Reorder the terms: -5x + 2y + 2y + 8y = -1(x + 3) + 2 Combine like terms: 2y + 2y = 4y -5x + 4y + 8y = -1(x + 3) + 2 Combine like terms: 4y + 8y = 12y -5x + 12y = -1(x + 3) + 2 Reorder the terms: -5x + 12y = -1(3 + x) + 2 -5x + 12y = (3 * -1 + x * -1) + 2 -5x + 12y = (-3 + -1x) + 2 Reorder the terms: -5x + 12y = -3 + 2 + -1x Combine like terms: -3 + 2 = -1 -5x + 12y = -1 + -1x Solving -5x + 12y = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5x + x + 12y = -1 + -1x + x Combine like terms: -5x + x = -4x -4x + 12y = -1 + -1x + x Combine like terms: -1x + x = 0 -4x + 12y = -1 + 0 -4x + 12y = -1 Add '-12y' to each side of the equation. -4x + 12y + -12y = -1 + -12y Combine like terms: 12y + -12y = 0 -4x + 0 = -1 + -12y -4x = -1 + -12y Divide each side by '-4'. x = 0.25 + 3y Simplifying x = 0.25 + 3y
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