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Simplifying 5x + 2 + 3x + 18 + 2y + 12 = 180 Reorder the terms: 2 + 18 + 12 + 5x + 3x + 2y = 180 Combine like terms: 2 + 18 = 20 20 + 12 + 5x + 3x + 2y = 180 Combine like terms: 20 + 12 = 32 32 + 5x + 3x + 2y = 180 Combine like terms: 5x + 3x = 8x 32 + 8x + 2y = 180 Solving 32 + 8x + 2y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8x + -32 + 2y = 180 + -32 Reorder the terms: 32 + -32 + 8x + 2y = 180 + -32 Combine like terms: 32 + -32 = 0 0 + 8x + 2y = 180 + -32 8x + 2y = 180 + -32 Combine like terms: 180 + -32 = 148 8x + 2y = 148 Add '-2y' to each side of the equation. 8x + 2y + -2y = 148 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 148 + -2y 8x = 148 + -2y Divide each side by '8'. x = 18.5 + -0.25y Simplifying x = 18.5 + -0.25y
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