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Simplifying 53 + -1(5x + 11) = 5(x + 4) + x Reorder the terms: 53 + -1(11 + 5x) = 5(x + 4) + x 53 + (11 * -1 + 5x * -1) = 5(x + 4) + x 53 + (-11 + -5x) = 5(x + 4) + x Combine like terms: 53 + -11 = 42 42 + -5x = 5(x + 4) + x Reorder the terms: 42 + -5x = 5(4 + x) + x 42 + -5x = (4 * 5 + x * 5) + x 42 + -5x = (20 + 5x) + x Combine like terms: 5x + x = 6x 42 + -5x = 20 + 6x Solving 42 + -5x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + -5x + -6x = 20 + 6x + -6x Combine like terms: -5x + -6x = -11x 42 + -11x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -11x = 20 + 0 42 + -11x = 20 Add '-42' to each side of the equation. 42 + -42 + -11x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -11x = 20 + -42 -11x = 20 + -42 Combine like terms: 20 + -42 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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