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Simplifying 83 + -1(5x + 13) = 5(x + 3) + x Reorder the terms: 83 + -1(13 + 5x) = 5(x + 3) + x 83 + (13 * -1 + 5x * -1) = 5(x + 3) + x 83 + (-13 + -5x) = 5(x + 3) + x Combine like terms: 83 + -13 = 70 70 + -5x = 5(x + 3) + x Reorder the terms: 70 + -5x = 5(3 + x) + x 70 + -5x = (3 * 5 + x * 5) + x 70 + -5x = (15 + 5x) + x Combine like terms: 5x + x = 6x 70 + -5x = 15 + 6x Solving 70 + -5x = 15 + 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. 70 + -5x + -6x = 15 + 6x + -6x Combine like terms: -5x + -6x = -11x 70 + -11x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 70 + -11x = 15 + 0 70 + -11x = 15 Add '-70' to each side of the equation. 70 + -70 + -11x = 15 + -70 Combine like terms: 70 + -70 = 0 0 + -11x = 15 + -70 -11x = 15 + -70 Combine like terms: 15 + -70 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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