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Simplifying 31y + 22x + 22y + -112 = 56 + -16x + -32 Reorder the terms: -112 + 22x + 31y + 22y = 56 + -16x + -32 Combine like terms: 31y + 22y = 53y -112 + 22x + 53y = 56 + -16x + -32 Reorder the terms: -112 + 22x + 53y = 56 + -32 + -16x Combine like terms: 56 + -32 = 24 -112 + 22x + 53y = 24 + -16x Solving -112 + 22x + 53y = 24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -112 + 22x + 16x + 53y = 24 + -16x + 16x Combine like terms: 22x + 16x = 38x -112 + 38x + 53y = 24 + -16x + 16x Combine like terms: -16x + 16x = 0 -112 + 38x + 53y = 24 + 0 -112 + 38x + 53y = 24 Add '112' to each side of the equation. -112 + 38x + 112 + 53y = 24 + 112 Reorder the terms: -112 + 112 + 38x + 53y = 24 + 112 Combine like terms: -112 + 112 = 0 0 + 38x + 53y = 24 + 112 38x + 53y = 24 + 112 Combine like terms: 24 + 112 = 136 38x + 53y = 136 Add '-53y' to each side of the equation. 38x + 53y + -53y = 136 + -53y Combine like terms: 53y + -53y = 0 38x + 0 = 136 + -53y 38x = 136 + -53y Divide each side by '38'. x = 3.578947368 + -1.394736842y Simplifying x = 3.578947368 + -1.394736842y
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