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Simplifying -38 + -8x = 4(3 + -8x) + -1x -38 + -8x = (3 * 4 + -8x * 4) + -1x -38 + -8x = (12 + -32x) + -1x Combine like terms: -32x + -1x = -33x -38 + -8x = 12 + -33x Solving -38 + -8x = 12 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -38 + -8x + 33x = 12 + -33x + 33x Combine like terms: -8x + 33x = 25x -38 + 25x = 12 + -33x + 33x Combine like terms: -33x + 33x = 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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