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Simplifying 36(x + 1) * 2 + 16(y + -2) * 2 = 576 Reorder the terms: 36(1 + x) * 2 + 16(y + -2) * 2 = 576 Reorder the terms for easier multiplication: 36 * 2(1 + x) + 16(y + -2) * 2 = 576 Multiply 36 * 2 72(1 + x) + 16(y + -2) * 2 = 576 (1 * 72 + x * 72) + 16(y + -2) * 2 = 576 (72 + 72x) + 16(y + -2) * 2 = 576 Reorder the terms: 72 + 72x + 16(-2 + y) * 2 = 576 Reorder the terms for easier multiplication: 72 + 72x + 16 * 2(-2 + y) = 576 Multiply 16 * 2 72 + 72x + 32(-2 + y) = 576 72 + 72x + (-2 * 32 + y * 32) = 576 72 + 72x + (-64 + 32y) = 576 Reorder the terms: 72 + -64 + 72x + 32y = 576 Combine like terms: 72 + -64 = 8 8 + 72x + 32y = 576 Solving 8 + 72x + 32y = 576 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 72x + -8 + 32y = 576 + -8 Reorder the terms: 8 + -8 + 72x + 32y = 576 + -8 Combine like terms: 8 + -8 = 0 0 + 72x + 32y = 576 + -8 72x + 32y = 576 + -8 Combine like terms: 576 + -8 = 568 72x + 32y = 568 Add '-32y' to each side of the equation. 72x + 32y + -32y = 568 + -32y Combine like terms: 32y + -32y = 0 72x + 0 = 568 + -32y 72x = 568 + -32y Divide each side by '72'. x = 7.888888889 + -0.4444444444y Simplifying x = 7.888888889 + -0.4444444444y
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