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Simplifying 38 = -4x + -6(-2x + -13) Reorder the terms: 38 = -4x + -6(-13 + -2x) 38 = -4x + (-13 * -6 + -2x * -6) 38 = -4x + (78 + 12x) Reorder the terms: 38 = 78 + -4x + 12x Combine like terms: -4x + 12x = 8x 38 = 78 + 8x Solving 38 = 78 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 38 + -8x = 78 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -8x = 78 + 0 38 + -8x = 78 Add '-38' to each side of the equation. 38 + -38 + -8x = 78 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = 78 + -38 -8x = 78 + -38 Combine like terms: 78 + -38 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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