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Simplifying 3(x + 7) = -4(x + -21) Reorder the terms: 3(7 + x) = -4(x + -21) (7 * 3 + x * 3) = -4(x + -21) (21 + 3x) = -4(x + -21) Reorder the terms: 21 + 3x = -4(-21 + x) 21 + 3x = (-21 * -4 + x * -4) 21 + 3x = (84 + -4x) Solving 21 + 3x = 84 + -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 = 84 + -4x + 4x Combine like terms: 3x + 4x = 7x 21 + 7x = 84 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + 7x = 84 + 0 21 + 7x = 84 Add '-21' to each side of the equation. 21 + -21 + 7x = 84 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 84 + -21 7x = 84 + -21 Combine like terms: 84 + -21 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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