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Simplifying 5(x + 7) = 4x Reorder the terms: 5(7 + x) = 4x (7 * 5 + x * 5) = 4x (35 + 5x) = 4x Solving 35 + 5x = 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. 35 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 35 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 35 + 1x = 0 Add '-35' to each side of the equation. 35 + -35 + 1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 0 + -35 1x = 0 + -35 Combine like terms: 0 + -35 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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