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Simplifying 67 + -1(5x + 14) = 5(x + 4) + x Reorder the terms: 67 + -1(14 + 5x) = 5(x + 4) + x 67 + (14 * -1 + 5x * -1) = 5(x + 4) + x 67 + (-14 + -5x) = 5(x + 4) + x Combine like terms: 67 + -14 = 53 53 + -5x = 5(x + 4) + x Reorder the terms: 53 + -5x = 5(4 + x) + x 53 + -5x = (4 * 5 + x * 5) + x 53 + -5x = (20 + 5x) + x Combine like terms: 5x + x = 6x 53 + -5x = 20 + 6x Solving 53 + -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. 53 + -5x + -6x = 20 + 6x + -6x Combine like terms: -5x + -6x = -11x 53 + -11x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 53 + -11x = 20 + 0 53 + -11x = 20 Add '-53' to each side of the equation. 53 + -53 + -11x = 20 + -53 Combine like terms: 53 + -53 = 0 0 + -11x = 20 + -53 -11x = 20 + -53 Combine like terms: 20 + -53 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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