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Simplifying 4(x + 25) = 3(7 + x) Reorder the terms: 4(25 + x) = 3(7 + x) (25 * 4 + x * 4) = 3(7 + x) (100 + 4x) = 3(7 + x) 100 + 4x = (7 * 3 + x * 3) 100 + 4x = (21 + 3x) Solving 100 + 4x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + 4x + -3x = 21 + 3x + -3x Combine like terms: 4x + -3x = 1x 100 + 1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + 1x = 21 + 0 100 + 1x = 21 Add '-100' to each side of the equation. 100 + -100 + 1x = 21 + -100 Combine like terms: 100 + -100 = 0 0 + 1x = 21 + -100 1x = 21 + -100 Combine like terms: 21 + -100 = -79 1x = -79 Divide each side by '1'. x = -79 Simplifying x = -79
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