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Simplifying 21 + 7x = 7(6x + -7) Reorder the terms: 21 + 7x = 7(-7 + 6x) 21 + 7x = (-7 * 7 + 6x * 7) 21 + 7x = (-49 + 42x) Solving 21 + 7x = -49 + 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. 21 + 7x + -42x = -49 + 42x + -42x Combine like terms: 7x + -42x = -35x 21 + -35x = -49 + 42x + -42x Combine like terms: 42x + -42x = 0 21 + -35x = -49 + 0 21 + -35x = -49 Add '-21' to each side of the equation. 21 + -21 + -35x = -49 + -21 Combine like terms: 21 + -21 = 0 0 + -35x = -49 + -21 -35x = -49 + -21 Combine like terms: -49 + -21 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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