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Simplifying 2(3x + 4) + 5(6x + 7) = 64x + 1 Reorder the terms: 2(4 + 3x) + 5(6x + 7) = 64x + 1 (4 * 2 + 3x * 2) + 5(6x + 7) = 64x + 1 (8 + 6x) + 5(6x + 7) = 64x + 1 Reorder the terms: 8 + 6x + 5(7 + 6x) = 64x + 1 8 + 6x + (7 * 5 + 6x * 5) = 64x + 1 8 + 6x + (35 + 30x) = 64x + 1 Reorder the terms: 8 + 35 + 6x + 30x = 64x + 1 Combine like terms: 8 + 35 = 43 43 + 6x + 30x = 64x + 1 Combine like terms: 6x + 30x = 36x 43 + 36x = 64x + 1 Reorder the terms: 43 + 36x = 1 + 64x Solving 43 + 36x = 1 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 43 + 36x + -64x = 1 + 64x + -64x Combine like terms: 36x + -64x = -28x 43 + -28x = 1 + 64x + -64x Combine like terms: 64x + -64x = 0 43 + -28x = 1 + 0 43 + -28x = 1 Add '-43' to each side of the equation. 43 + -43 + -28x = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -28x = 1 + -43 -28x = 1 + -43 Combine like terms: 1 + -43 = -42 -28x = -42 Divide each side by '-28'. x = 1.5 Simplifying x = 1.5
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