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Simplifying -21 + -6x = 8(4x + 3) Reorder the terms: -21 + -6x = 8(3 + 4x) -21 + -6x = (3 * 8 + 4x * 8) -21 + -6x = (24 + 32x) Solving -21 + -6x = 24 + 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. -21 + -6x + -32x = 24 + 32x + -32x Combine like terms: -6x + -32x = -38x -21 + -38x = 24 + 32x + -32x Combine like terms: 32x + -32x = 0 -21 + -38x = 24 + 0 -21 + -38x = 24 Add '21' to each side of the equation. -21 + 21 + -38x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -38x = 24 + 21 -38x = 24 + 21 Combine like terms: 24 + 21 = 45 -38x = 45 Divide each side by '-38'. x = -1.184210526 Simplifying x = -1.184210526
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