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Simplifying 3(2 + 7x) + 4 = -2(x + -5) (2 * 3 + 7x * 3) + 4 = -2(x + -5) (6 + 21x) + 4 = -2(x + -5) Reorder the terms: 6 + 4 + 21x = -2(x + -5) Combine like terms: 6 + 4 = 10 10 + 21x = -2(x + -5) Reorder the terms: 10 + 21x = -2(-5 + x) 10 + 21x = (-5 * -2 + x * -2) 10 + 21x = (10 + -2x) Add '-10' to each side of the equation. 10 + -10 + 21x = 10 + -10 + -2x Combine like terms: 10 + -10 = 0 0 + 21x = 10 + -10 + -2x 21x = 10 + -10 + -2x Combine like terms: 10 + -10 = 0 21x = 0 + -2x 21x = -2x Solving 21x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21x + 2x = -2x + 2x Combine like terms: 21x + 2x = 23x 23x = -2x + 2x Combine like terms: -2x + 2x = 0 23x = 0 Divide each side by '23'. x = 0 Simplifying x = 0
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