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Simplifying 7(3x + 6) = 5(4x + -1) Reorder the terms: 7(6 + 3x) = 5(4x + -1) (6 * 7 + 3x * 7) = 5(4x + -1) (42 + 21x) = 5(4x + -1) Reorder the terms: 42 + 21x = 5(-1 + 4x) 42 + 21x = (-1 * 5 + 4x * 5) 42 + 21x = (-5 + 20x) Solving 42 + 21x = -5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 42 + 21x + -20x = -5 + 20x + -20x Combine like terms: 21x + -20x = 1x 42 + 1x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 42 + 1x = -5 + 0 42 + 1x = -5 Add '-42' to each side of the equation. 42 + -42 + 1x = -5 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = -5 + -42 1x = -5 + -42 Combine like terms: -5 + -42 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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