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Simplifying 10(6x + 6) + 4 = 11(5x + 6) + 4 Reorder the terms: 10(6 + 6x) + 4 = 11(5x + 6) + 4 (6 * 10 + 6x * 10) + 4 = 11(5x + 6) + 4 (60 + 60x) + 4 = 11(5x + 6) + 4 Reorder the terms: 60 + 4 + 60x = 11(5x + 6) + 4 Combine like terms: 60 + 4 = 64 64 + 60x = 11(5x + 6) + 4 Reorder the terms: 64 + 60x = 11(6 + 5x) + 4 64 + 60x = (6 * 11 + 5x * 11) + 4 64 + 60x = (66 + 55x) + 4 Reorder the terms: 64 + 60x = 66 + 4 + 55x Combine like terms: 66 + 4 = 70 64 + 60x = 70 + 55x Solving 64 + 60x = 70 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 64 + 60x + -55x = 70 + 55x + -55x Combine like terms: 60x + -55x = 5x 64 + 5x = 70 + 55x + -55x Combine like terms: 55x + -55x = 0 64 + 5x = 70 + 0 64 + 5x = 70 Add '-64' to each side of the equation. 64 + -64 + 5x = 70 + -64 Combine like terms: 64 + -64 = 0 0 + 5x = 70 + -64 5x = 70 + -64 Combine like terms: 70 + -64 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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