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Simplifying 10x + -6x + 12 = 12x + -24 + -32x Reorder the terms: 12 + 10x + -6x = 12x + -24 + -32x Combine like terms: 10x + -6x = 4x 12 + 4x = 12x + -24 + -32x Reorder the terms: 12 + 4x = -24 + 12x + -32x Combine like terms: 12x + -32x = -20x 12 + 4x = -24 + -20x Solving 12 + 4x = -24 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 12 + 4x + 20x = -24 + -20x + 20x Combine like terms: 4x + 20x = 24x 12 + 24x = -24 + -20x + 20x Combine like terms: -20x + 20x = 0 12 + 24x = -24 + 0 12 + 24x = -24 Add '-12' to each side of the equation. 12 + -12 + 24x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = -24 + -12 24x = -24 + -12 Combine like terms: -24 + -12 = -36 24x = -36 Divide each side by '24'. x = -1.5 Simplifying x = -1.5
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