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Simplifying -5 + 8x = 2(14x + 10) + -1x Reorder the terms: -5 + 8x = 2(10 + 14x) + -1x -5 + 8x = (10 * 2 + 14x * 2) + -1x -5 + 8x = (20 + 28x) + -1x Combine like terms: 28x + -1x = 27x -5 + 8x = 20 + 27x Solving -5 + 8x = 20 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -5 + 8x + -27x = 20 + 27x + -27x Combine like terms: 8x + -27x = -19x -5 + -19x = 20 + 27x + -27x Combine like terms: 27x + -27x = 0 -5 + -19x = 20 + 0 -5 + -19x = 20 Add '5' to each side of the equation. -5 + 5 + -19x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -19x = 20 + 5 -19x = 20 + 5 Combine like terms: 20 + 5 = 25 -19x = 25 Divide each side by '-19'. x = -1.315789474 Simplifying x = -1.315789474
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