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Simplifying 5(4x + 3) + 3(4y + 1) = 66 Reorder the terms: 5(3 + 4x) + 3(4y + 1) = 66 (3 * 5 + 4x * 5) + 3(4y + 1) = 66 (15 + 20x) + 3(4y + 1) = 66 Reorder the terms: 15 + 20x + 3(1 + 4y) = 66 15 + 20x + (1 * 3 + 4y * 3) = 66 15 + 20x + (3 + 12y) = 66 Reorder the terms: 15 + 3 + 20x + 12y = 66 Combine like terms: 15 + 3 = 18 18 + 20x + 12y = 66 Solving 18 + 20x + 12y = 66 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 + 20x + -18 + 12y = 66 + -18 Reorder the terms: 18 + -18 + 20x + 12y = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 20x + 12y = 66 + -18 20x + 12y = 66 + -18 Combine like terms: 66 + -18 = 48 20x + 12y = 48 Add '-12y' to each side of the equation. 20x + 12y + -12y = 48 + -12y Combine like terms: 12y + -12y = 0 20x + 0 = 48 + -12y 20x = 48 + -12y Divide each side by '20'. x = 2.4 + -0.6y Simplifying x = 2.4 + -0.6y
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