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Simplifying 8x + -1(2 + -5x) + 2x = 40 + 2x 8x + (2 * -1 + -5x * -1) + 2x = 40 + 2x 8x + (-2 + 5x) + 2x = 40 + 2x Reorder the terms: -2 + 8x + 5x + 2x = 40 + 2x Combine like terms: 8x + 5x = 13x -2 + 13x + 2x = 40 + 2x Combine like terms: 13x + 2x = 15x -2 + 15x = 40 + 2x Solving -2 + 15x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 15x + -2x = 40 + 2x + -2x Combine like terms: 15x + -2x = 13x -2 + 13x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 13x = 40 + 0 -2 + 13x = 40 Add '2' to each side of the equation. -2 + 2 + 13x = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 40 + 2 13x = 40 + 2 Combine like terms: 40 + 2 = 42 13x = 42 Divide each side by '13'. x = 3.230769231 Simplifying x = 3.230769231
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