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Simplifying -38 + -6x = 5x + 8(4x + 6) Reorder the terms: -38 + -6x = 5x + 8(6 + 4x) -38 + -6x = 5x + (6 * 8 + 4x * 8) -38 + -6x = 5x + (48 + 32x) Reorder the terms: -38 + -6x = 48 + 5x + 32x Combine like terms: 5x + 32x = 37x -38 + -6x = 48 + 37x Solving -38 + -6x = 48 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -38 + -6x + -37x = 48 + 37x + -37x Combine like terms: -6x + -37x = -43x -38 + -43x = 48 + 37x + -37x Combine like terms: 37x + -37x = 0 -38 + -43x = 48 + 0 -38 + -43x = 48 Add '38' to each side of the equation. -38 + 38 + -43x = 48 + 38 Combine like terms: -38 + 38 = 0 0 + -43x = 48 + 38 -43x = 48 + 38 Combine like terms: 48 + 38 = 86 -43x = 86 Divide each side by '-43'. x = -2 Simplifying x = -2
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