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Simplifying 7x + -1(x + -5) = -5(x + 3) + 1 Reorder the terms: 7x + -1(-5 + x) = -5(x + 3) + 1 7x + (-5 * -1 + x * -1) = -5(x + 3) + 1 7x + (5 + -1x) = -5(x + 3) + 1 Reorder the terms: 5 + 7x + -1x = -5(x + 3) + 1 Combine like terms: 7x + -1x = 6x 5 + 6x = -5(x + 3) + 1 Reorder the terms: 5 + 6x = -5(3 + x) + 1 5 + 6x = (3 * -5 + x * -5) + 1 5 + 6x = (-15 + -5x) + 1 Reorder the terms: 5 + 6x = -15 + 1 + -5x Combine like terms: -15 + 1 = -14 5 + 6x = -14 + -5x Solving 5 + 6x = -14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 6x + 5x = -14 + -5x + 5x Combine like terms: 6x + 5x = 11x 5 + 11x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 11x = -14 + 0 5 + 11x = -14 Add '-5' to each side of the equation. 5 + -5 + 11x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = -14 + -5 11x = -14 + -5 Combine like terms: -14 + -5 = -19 11x = -19 Divide each side by '11'. x = -1.727272727 Simplifying x = -1.727272727
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