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Simplifying 2(1 + -6x) + 8 = -38 + -4x (1 * 2 + -6x * 2) + 8 = -38 + -4x (2 + -12x) + 8 = -38 + -4x Reorder the terms: 2 + 8 + -12x = -38 + -4x Combine like terms: 2 + 8 = 10 10 + -12x = -38 + -4x Solving 10 + -12x = -38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + -12x + 4x = -38 + -4x + 4x Combine like terms: -12x + 4x = -8x 10 + -8x = -38 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + -8x = -38 + 0 10 + -8x = -38 Add '-10' to each side of the equation. 10 + -10 + -8x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -38 + -10 -8x = -38 + -10 Combine like terms: -38 + -10 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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