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Simplifying 6(1 + -4x) + 7(x + 5x) = 53 (1 * 6 + -4x * 6) + 7(x + 5x) = 53 (6 + -24x) + 7(x + 5x) = 53 Combine like terms: x + 5x = 6x 6 + -24x + 7(6x) = 53 Remove parenthesis around (6x) 6 + -24x + 7 * 6x = 53 Multiply 7 * 6 6 + -24x + 42x = 53 Combine like terms: -24x + 42x = 18x 6 + 18x = 53 Solving 6 + 18x = 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 + 18x = 53 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = 53 + -6 18x = 53 + -6 Combine like terms: 53 + -6 = 47 18x = 47 Divide each side by '18'. x = 2.611111111 Simplifying x = 2.611111111
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