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Simplifying 3(x + 7) = -2(3x + -5) + 50 Reorder the terms: 3(7 + x) = -2(3x + -5) + 50 (7 * 3 + x * 3) = -2(3x + -5) + 50 (21 + 3x) = -2(3x + -5) + 50 Reorder the terms: 21 + 3x = -2(-5 + 3x) + 50 21 + 3x = (-5 * -2 + 3x * -2) + 50 21 + 3x = (10 + -6x) + 50 Reorder the terms: 21 + 3x = 10 + 50 + -6x Combine like terms: 10 + 50 = 60 21 + 3x = 60 + -6x Solving 21 + 3x = 60 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + 3x + 6x = 60 + -6x + 6x Combine like terms: 3x + 6x = 9x 21 + 9x = 60 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 9x = 60 + 0 21 + 9x = 60 Add '-21' to each side of the equation. 21 + -21 + 9x = 60 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 60 + -21 9x = 60 + -21 Combine like terms: 60 + -21 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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