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Simplifying 8x + -1(5x + 2) = 5x + -42 Reorder the terms: 8x + -1(2 + 5x) = 5x + -42 8x + (2 * -1 + 5x * -1) = 5x + -42 8x + (-2 + -5x) = 5x + -42 Reorder the terms: -2 + 8x + -5x = 5x + -42 Combine like terms: 8x + -5x = 3x -2 + 3x = 5x + -42 Reorder the terms: -2 + 3x = -42 + 5x Solving -2 + 3x = -42 + 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. -2 + 3x + -5x = -42 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -42 + 0 -2 + -2x = -42 Add '2' to each side of the equation. -2 + 2 + -2x = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -42 + 2 -2x = -42 + 2 Combine like terms: -42 + 2 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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