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Simplifying -5x + -4(1 + 7x) = -4(1 + -1x) -5x + (1 * -4 + 7x * -4) = -4(1 + -1x) -5x + (-4 + -28x) = -4(1 + -1x) Reorder the terms: -4 + -5x + -28x = -4(1 + -1x) Combine like terms: -5x + -28x = -33x -4 + -33x = -4(1 + -1x) -4 + -33x = (1 * -4 + -1x * -4) -4 + -33x = (-4 + 4x) Add '4' to each side of the equation. -4 + 4 + -33x = -4 + 4 + 4x Combine like terms: -4 + 4 = 0 0 + -33x = -4 + 4 + 4x -33x = -4 + 4 + 4x Combine like terms: -4 + 4 = 0 -33x = 0 + 4x -33x = 4x Solving -33x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -33x + -4x = 4x + -4x Combine like terms: -33x + -4x = -37x -37x = 4x + -4x Combine like terms: 4x + -4x = 0 -37x = 0 Divide each side by '-37'. x = 0 Simplifying x = 0
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