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Simplifying 6(1 + 4x) + 7(2x + 5x) = 53 (1 * 6 + 4x * 6) + 7(2x + 5x) = 53 (6 + 24x) + 7(2x + 5x) = 53 Combine like terms: 2x + 5x = 7x 6 + 24x + 7(7x) = 53 Remove parenthesis around (7x) 6 + 24x + 7 * 7x = 53 Multiply 7 * 7 6 + 24x + 49x = 53 Combine like terms: 24x + 49x = 73x 6 + 73x = 53 Solving 6 + 73x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 73x = 53 + -6 Combine like terms: 6 + -6 = 0 0 + 73x = 53 + -6 73x = 53 + -6 Combine like terms: 53 + -6 = 47 73x = 47 Divide each side by '73'. x = 0.6438356164 Simplifying x = 0.6438356164
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