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Simplifying 5x + 24 = -3(x + 7) + -3 Reorder the terms: 24 + 5x = -3(x + 7) + -3 Reorder the terms: 24 + 5x = -3(7 + x) + -3 24 + 5x = (7 * -3 + x * -3) + -3 24 + 5x = (-21 + -3x) + -3 Reorder the terms: 24 + 5x = -21 + -3 + -3x Combine like terms: -21 + -3 = -24 24 + 5x = -24 + -3x Solving 24 + 5x = -24 + -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 + 5x + 3x = -24 + -3x + 3x Combine like terms: 5x + 3x = 8x 24 + 8x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 8x = -24 + 0 24 + 8x = -24 Add '-24' to each side of the equation. 24 + -24 + 8x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -24 + -24 8x = -24 + -24 Combine like terms: -24 + -24 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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