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Simplifying -38 + 6x = 4(8x + -3) Reorder the terms: -38 + 6x = 4(-3 + 8x) -38 + 6x = (-3 * 4 + 8x * 4) -38 + 6x = (-12 + 32x) Solving -38 + 6x = -12 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -38 + 6x + -32x = -12 + 32x + -32x Combine like terms: 6x + -32x = -26x -38 + -26x = -12 + 32x + -32x Combine like terms: 32x + -32x = 0 -38 + -26x = -12 + 0 -38 + -26x = -12 Add '38' to each side of the equation. -38 + 38 + -26x = -12 + 38 Combine like terms: -38 + 38 = 0 0 + -26x = -12 + 38 -26x = -12 + 38 Combine like terms: -12 + 38 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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