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Simplifying 13x + -2(x + 40) = 8x + 1 Reorder the terms: 13x + -2(40 + x) = 8x + 1 13x + (40 * -2 + x * -2) = 8x + 1 13x + (-80 + -2x) = 8x + 1 Reorder the terms: -80 + 13x + -2x = 8x + 1 Combine like terms: 13x + -2x = 11x -80 + 11x = 8x + 1 Reorder the terms: -80 + 11x = 1 + 8x Solving -80 + 11x = 1 + 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. -80 + 11x + -8x = 1 + 8x + -8x Combine like terms: 11x + -8x = 3x -80 + 3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -80 + 3x = 1 + 0 -80 + 3x = 1 Add '80' to each side of the equation. -80 + 80 + 3x = 1 + 80 Combine like terms: -80 + 80 = 0 0 + 3x = 1 + 80 3x = 1 + 80 Combine like terms: 1 + 80 = 81 3x = 81 Divide each side by '3'. x = 27 Simplifying x = 27
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