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Simplifying x + -38 = -6 + 3(6 + -8x) Reorder the terms: -38 + x = -6 + 3(6 + -8x) -38 + x = -6 + (6 * 3 + -8x * 3) -38 + x = -6 + (18 + -24x) Combine like terms: -6 + 18 = 12 -38 + x = 12 + -24x Solving -38 + x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -38 + x + 24x = 12 + -24x + 24x Combine like terms: x + 24x = 25x -38 + 25x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 -38 + 25x = 12 + 0 -38 + 25x = 12 Add '38' to each side of the equation. -38 + 38 + 25x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 25x = 12 + 38 25x = 12 + 38 Combine like terms: 12 + 38 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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