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Simplifying 5x + -8 = 47 + -1(2 + 8x) Reorder the terms: -8 + 5x = 47 + -1(2 + 8x) -8 + 5x = 47 + (2 * -1 + 8x * -1) -8 + 5x = 47 + (-2 + -8x) Combine like terms: 47 + -2 = 45 -8 + 5x = 45 + -8x Solving -8 + 5x = 45 + -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. -8 + 5x + 8x = 45 + -8x + 8x Combine like terms: 5x + 8x = 13x -8 + 13x = 45 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 13x = 45 + 0 -8 + 13x = 45 Add '8' to each side of the equation. -8 + 8 + 13x = 45 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 45 + 8 13x = 45 + 8 Combine like terms: 45 + 8 = 53 13x = 53 Divide each side by '13'. x = 4.076923077 Simplifying x = 4.076923077
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