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Simplifying -1(x + 8) + 3(6x + 2) = 1 + -2x + 5x + -3 Reorder the terms: -1(8 + x) + 3(6x + 2) = 1 + -2x + 5x + -3 (8 * -1 + x * -1) + 3(6x + 2) = 1 + -2x + 5x + -3 (-8 + -1x) + 3(6x + 2) = 1 + -2x + 5x + -3 Reorder the terms: -8 + -1x + 3(2 + 6x) = 1 + -2x + 5x + -3 -8 + -1x + (2 * 3 + 6x * 3) = 1 + -2x + 5x + -3 -8 + -1x + (6 + 18x) = 1 + -2x + 5x + -3 Reorder the terms: -8 + 6 + -1x + 18x = 1 + -2x + 5x + -3 Combine like terms: -8 + 6 = -2 -2 + -1x + 18x = 1 + -2x + 5x + -3 Combine like terms: -1x + 18x = 17x -2 + 17x = 1 + -2x + 5x + -3 Reorder the terms: -2 + 17x = 1 + -3 + -2x + 5x Combine like terms: 1 + -3 = -2 -2 + 17x = -2 + -2x + 5x Combine like terms: -2x + 5x = 3x -2 + 17x = -2 + 3x Add '2' to each side of the equation. -2 + 2 + 17x = -2 + 2 + 3x Combine like terms: -2 + 2 = 0 0 + 17x = -2 + 2 + 3x 17x = -2 + 2 + 3x Combine like terms: -2 + 2 = 0 17x = 0 + 3x 17x = 3x Solving 17x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 17x + -3x = 3x + -3x Combine like terms: 17x + -3x = 14x 14x = 3x + -3x Combine like terms: 3x + -3x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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