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Simplifying -5x + 1 = 8(x + 5) Reorder the terms: 1 + -5x = 8(x + 5) Reorder the terms: 1 + -5x = 8(5 + x) 1 + -5x = (5 * 8 + x * 8) 1 + -5x = (40 + 8x) Solving 1 + -5x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -5x + -8x = 40 + 8x + -8x Combine like terms: -5x + -8x = -13x 1 + -13x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -13x = 40 + 0 1 + -13x = 40 Add '-1' to each side of the equation. 1 + -1 + -13x = 40 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = 40 + -1 -13x = 40 + -1 Combine like terms: 40 + -1 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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