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Simplifying 6(1 + -4x) + 7(2 + 5x) = 53 (1 * 6 + -4x * 6) + 7(2 + 5x) = 53 (6 + -24x) + 7(2 + 5x) = 53 6 + -24x + (2 * 7 + 5x * 7) = 53 6 + -24x + (14 + 35x) = 53 Reorder the terms: 6 + 14 + -24x + 35x = 53 Combine like terms: 6 + 14 = 20 20 + -24x + 35x = 53 Combine like terms: -24x + 35x = 11x 20 + 11x = 53 Solving 20 + 11x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11x = 53 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 53 + -20 11x = 53 + -20 Combine like terms: 53 + -20 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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