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Simplifying 7(1 + -4x) = 7 + -5x (1 * 7 + -4x * 7) = 7 + -5x (7 + -28x) = 7 + -5x Add '-7' to each side of the equation. 7 + -7 + -28x = 7 + -7 + -5x Combine like terms: 7 + -7 = 0 0 + -28x = 7 + -7 + -5x -28x = 7 + -7 + -5x Combine like terms: 7 + -7 = 0 -28x = 0 + -5x -28x = -5x Solving -28x = -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. -28x + 5x = -5x + 5x Combine like terms: -28x + 5x = -23x -23x = -5x + 5x Combine like terms: -5x + 5x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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