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Simplifying -38 + -6x = 2(1 + -7x) -38 + -6x = (1 * 2 + -7x * 2) -38 + -6x = (2 + -14x) Solving -38 + -6x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -38 + -6x + 14x = 2 + -14x + 14x Combine like terms: -6x + 14x = 8x -38 + 8x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 -38 + 8x = 2 + 0 -38 + 8x = 2 Add '38' to each side of the equation. -38 + 38 + 8x = 2 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 2 + 38 8x = 2 + 38 Combine like terms: 2 + 38 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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