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Simplifying 12 + 7x + -21 = -24 + 8x + -32x Reorder the terms: 12 + -21 + 7x = -24 + 8x + -32x Combine like terms: 12 + -21 = -9 -9 + 7x = -24 + 8x + -32x Combine like terms: 8x + -32x = -24x -9 + 7x = -24 + -24x Solving -9 + 7x = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9 + 7x + 24x = -24 + -24x + 24x Combine like terms: 7x + 24x = 31x -9 + 31x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 31x = -24 + 0 -9 + 31x = -24 Add '9' to each side of the equation. -9 + 9 + 31x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + 31x = -24 + 9 31x = -24 + 9 Combine like terms: -24 + 9 = -15 31x = -15 Divide each side by '31'. x = -0.4838709677 Simplifying x = -0.4838709677
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