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Simplifying 3(x + 7) = 9 + -2(2x + -2) Reorder the terms: 3(7 + x) = 9 + -2(2x + -2) (7 * 3 + x * 3) = 9 + -2(2x + -2) (21 + 3x) = 9 + -2(2x + -2) Reorder the terms: 21 + 3x = 9 + -2(-2 + 2x) 21 + 3x = 9 + (-2 * -2 + 2x * -2) 21 + 3x = 9 + (4 + -4x) Combine like terms: 9 + 4 = 13 21 + 3x = 13 + -4x Solving 21 + 3x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 21 + 3x + 4x = 13 + -4x + 4x Combine like terms: 3x + 4x = 7x 21 + 7x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 7x = 13 + 0 21 + 7x = 13 Add '-21' to each side of the equation. 21 + -21 + 7x = 13 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 13 + -21 7x = 13 + -21 Combine like terms: 13 + -21 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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