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Simplifying -38 = -8 + 6(x + -2) Reorder the terms: -38 = -8 + 6(-2 + x) -38 = -8 + (-2 * 6 + x * 6) -38 = -8 + (-12 + 6x) Combine like terms: -8 + -12 = -20 -38 = -20 + 6x Solving -38 = -20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -38 + -6x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -6x = -20 + 0 -38 + -6x = -20 Add '38' to each side of the equation. -38 + 38 + -6x = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = -20 + 38 -6x = -20 + 38 Combine like terms: -20 + 38 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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