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Simplifying -38 = 2(4x + -3) Reorder the terms: -38 = 2(-3 + 4x) -38 = (-3 * 2 + 4x * 2) -38 = (-6 + 8x) Solving -38 = -6 + 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 = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + -8x = -6 + 0 -38 + -8x = -6 Add '38' to each side of the equation. -38 + 38 + -8x = -6 + 38 Combine like terms: -38 + 38 = 0 0 + -8x = -6 + 38 -8x = -6 + 38 Combine like terms: -6 + 38 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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