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Simplifying 5(2 + -5x + -6x) + 7(7x + 4) = 14 Combine like terms: -5x + -6x = -11x 5(2 + -11x) + 7(7x + 4) = 14 (2 * 5 + -11x * 5) + 7(7x + 4) = 14 (10 + -55x) + 7(7x + 4) = 14 Reorder the terms: 10 + -55x + 7(4 + 7x) = 14 10 + -55x + (4 * 7 + 7x * 7) = 14 10 + -55x + (28 + 49x) = 14 Reorder the terms: 10 + 28 + -55x + 49x = 14 Combine like terms: 10 + 28 = 38 38 + -55x + 49x = 14 Combine like terms: -55x + 49x = -6x 38 + -6x = 14 Solving 38 + -6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -6x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 14 + -38 -6x = 14 + -38 Combine like terms: 14 + -38 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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