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Simplifying 105 + -1(5x + 15) = 5(x + 7) + x Reorder the terms: 105 + -1(15 + 5x) = 5(x + 7) + x 105 + (15 * -1 + 5x * -1) = 5(x + 7) + x 105 + (-15 + -5x) = 5(x + 7) + x Combine like terms: 105 + -15 = 90 90 + -5x = 5(x + 7) + x Reorder the terms: 90 + -5x = 5(7 + x) + x 90 + -5x = (7 * 5 + x * 5) + x 90 + -5x = (35 + 5x) + x Combine like terms: 5x + x = 6x 90 + -5x = 35 + 6x Solving 90 + -5x = 35 + 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. 90 + -5x + -6x = 35 + 6x + -6x Combine like terms: -5x + -6x = -11x 90 + -11x = 35 + 6x + -6x Combine like terms: 6x + -6x = 0 90 + -11x = 35 + 0 90 + -11x = 35 Add '-90' to each side of the equation. 90 + -90 + -11x = 35 + -90 Combine like terms: 90 + -90 = 0 0 + -11x = 35 + -90 -11x = 35 + -90 Combine like terms: 35 + -90 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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