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Simplifying -7x + 8 + 28x = -40 + 5x Reorder the terms: 8 + -7x + 28x = -40 + 5x Combine like terms: -7x + 28x = 21x 8 + 21x = -40 + 5x Solving 8 + 21x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 21x + -5x = -40 + 5x + -5x Combine like terms: 21x + -5x = 16x 8 + 16x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 16x = -40 + 0 8 + 16x = -40 Add '-8' to each side of the equation. 8 + -8 + 16x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = -40 + -8 16x = -40 + -8 Combine like terms: -40 + -8 = -48 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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