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Simplifying 6x + 24 = -3(x + 7) Reorder the terms: 24 + 6x = -3(x + 7) Reorder the terms: 24 + 6x = -3(7 + x) 24 + 6x = (7 * -3 + x * -3) 24 + 6x = (-21 + -3x) Solving 24 + 6x = -21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + 6x + 3x = -21 + -3x + 3x Combine like terms: 6x + 3x = 9x 24 + 9x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 9x = -21 + 0 24 + 9x = -21 Add '-24' to each side of the equation. 24 + -24 + 9x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -21 + -24 9x = -21 + -24 Combine like terms: -21 + -24 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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