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Simplifying 16x + 32 + -4x + 2y = 4x + 52 Reorder the terms: 32 + 16x + -4x + 2y = 4x + 52 Combine like terms: 16x + -4x = 12x 32 + 12x + 2y = 4x + 52 Reorder the terms: 32 + 12x + 2y = 52 + 4x Solving 32 + 12x + 2y = 52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + 12x + -4x + 2y = 52 + 4x + -4x Combine like terms: 12x + -4x = 8x 32 + 8x + 2y = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + 8x + 2y = 52 + 0 32 + 8x + 2y = 52 Add '-32' to each side of the equation. 32 + 8x + -32 + 2y = 52 + -32 Reorder the terms: 32 + -32 + 8x + 2y = 52 + -32 Combine like terms: 32 + -32 = 0 0 + 8x + 2y = 52 + -32 8x + 2y = 52 + -32 Combine like terms: 52 + -32 = 20 8x + 2y = 20 Add '-2y' to each side of the equation. 8x + 2y + -2y = 20 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 20 + -2y 8x = 20 + -2y Divide each side by '8'. x = 2.5 + -0.25y Simplifying x = 2.5 + -0.25y
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