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Simplifying -5(x + -3) + 8 = x + 1 Reorder the terms: -5(-3 + x) + 8 = x + 1 (-3 * -5 + x * -5) + 8 = x + 1 (15 + -5x) + 8 = x + 1 Reorder the terms: 15 + 8 + -5x = x + 1 Combine like terms: 15 + 8 = 23 23 + -5x = x + 1 Reorder the terms: 23 + -5x = 1 + x Solving 23 + -5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 23 + -5x + -1x = 1 + x + -1x Combine like terms: -5x + -1x = -6x 23 + -6x = 1 + x + -1x Combine like terms: x + -1x = 0 23 + -6x = 1 + 0 23 + -6x = 1 Add '-23' to each side of the equation. 23 + -23 + -6x = 1 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = 1 + -23 -6x = 1 + -23 Combine like terms: 1 + -23 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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