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Simplifying 5x + 3(x + -6) = 4(y + 2) + -5 Reorder the terms: 5x + 3(-6 + x) = 4(y + 2) + -5 5x + (-6 * 3 + x * 3) = 4(y + 2) + -5 5x + (-18 + 3x) = 4(y + 2) + -5 Reorder the terms: -18 + 5x + 3x = 4(y + 2) + -5 Combine like terms: 5x + 3x = 8x -18 + 8x = 4(y + 2) + -5 Reorder the terms: -18 + 8x = 4(2 + y) + -5 -18 + 8x = (2 * 4 + y * 4) + -5 -18 + 8x = (8 + 4y) + -5 Reorder the terms: -18 + 8x = 8 + -5 + 4y Combine like terms: 8 + -5 = 3 -18 + 8x = 3 + 4y Solving -18 + 8x = 3 + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = 3 + 18 + 4y Combine like terms: -18 + 18 = 0 0 + 8x = 3 + 18 + 4y 8x = 3 + 18 + 4y Combine like terms: 3 + 18 = 21 8x = 21 + 4y Divide each side by '8'. x = 2.625 + 0.5y Simplifying x = 2.625 + 0.5y
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