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Simplifying -7(4x + -5) + 8 = 28x + 43 Reorder the terms: -7(-5 + 4x) + 8 = 28x + 43 (-5 * -7 + 4x * -7) + 8 = 28x + 43 (35 + -28x) + 8 = 28x + 43 Reorder the terms: 35 + 8 + -28x = 28x + 43 Combine like terms: 35 + 8 = 43 43 + -28x = 28x + 43 Reorder the terms: 43 + -28x = 43 + 28x Add '-43' to each side of the equation. 43 + -43 + -28x = 43 + -43 + 28x Combine like terms: 43 + -43 = 0 0 + -28x = 43 + -43 + 28x -28x = 43 + -43 + 28x Combine like terms: 43 + -43 = 0 -28x = 0 + 28x -28x = 28x Solving -28x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -28x + -28x = 28x + -28x Combine like terms: -28x + -28x = -56x -56x = 28x + -28x Combine like terms: 28x + -28x = 0 -56x = 0 Divide each side by '-56'. x = 0 Simplifying x = 0
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