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Simplifying 3(x + 7) = -6(x + -4) Reorder the terms: 3(7 + x) = -6(x + -4) (7 * 3 + x * 3) = -6(x + -4) (21 + 3x) = -6(x + -4) Reorder the terms: 21 + 3x = -6(-4 + x) 21 + 3x = (-4 * -6 + x * -6) 21 + 3x = (24 + -6x) Solving 21 + 3x = 24 + -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 = 24 + -6x + 6x Combine like terms: 3x + 6x = 9x 21 + 9x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 9x = 24 + 0 21 + 9x = 24 Add '-21' to each side of the equation. 21 + -21 + 9x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 24 + -21 9x = 24 + -21 Combine like terms: 24 + -21 = 3 9x = 3 Divide each side by '9'. x = 0.3333333333 Simplifying x = 0.3333333333
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