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Simplifying -38 + -7x = 2(1 + -6x) -38 + -7x = (1 * 2 + -6x * 2) -38 + -7x = (2 + -12x) Solving -38 + -7x = 2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -38 + -7x + 12x = 2 + -12x + 12x Combine like terms: -7x + 12x = 5x -38 + 5x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 -38 + 5x = 2 + 0 -38 + 5x = 2 Add '38' to each side of the equation. -38 + 38 + 5x = 2 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 2 + 38 5x = 2 + 38 Combine like terms: 2 + 38 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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