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Simplifying 75 + -1(5x + 13) = 5(x + 8) + x Reorder the terms: 75 + -1(13 + 5x) = 5(x + 8) + x 75 + (13 * -1 + 5x * -1) = 5(x + 8) + x 75 + (-13 + -5x) = 5(x + 8) + x Combine like terms: 75 + -13 = 62 62 + -5x = 5(x + 8) + x Reorder the terms: 62 + -5x = 5(8 + x) + x 62 + -5x = (8 * 5 + x * 5) + x 62 + -5x = (40 + 5x) + x Combine like terms: 5x + x = 6x 62 + -5x = 40 + 6x Solving 62 + -5x = 40 + 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. 62 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 62 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 62 + -11x = 40 + 0 62 + -11x = 40 Add '-62' to each side of the equation. 62 + -62 + -11x = 40 + -62 Combine like terms: 62 + -62 = 0 0 + -11x = 40 + -62 -11x = 40 + -62 Combine like terms: 40 + -62 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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