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Simplifying 7(3x + 4) = 7(6x + -2) Reorder the terms: 7(4 + 3x) = 7(6x + -2) (4 * 7 + 3x * 7) = 7(6x + -2) (28 + 21x) = 7(6x + -2) Reorder the terms: 28 + 21x = 7(-2 + 6x) 28 + 21x = (-2 * 7 + 6x * 7) 28 + 21x = (-14 + 42x) Solving 28 + 21x = -14 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 28 + 21x + -42x = -14 + 42x + -42x Combine like terms: 21x + -42x = -21x 28 + -21x = -14 + 42x + -42x Combine like terms: 42x + -42x = 0 28 + -21x = -14 + 0 28 + -21x = -14 Add '-28' to each side of the equation. 28 + -28 + -21x = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -21x = -14 + -28 -21x = -14 + -28 Combine like terms: -14 + -28 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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