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Simplifying 5x + -32 = 12x + -24 Reorder the terms: -32 + 5x = 12x + -24 Reorder the terms: -32 + 5x = -24 + 12x Solving -32 + 5x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 5x + -12x = -24 + 12x + -12x Combine like terms: 5x + -12x = -7x -32 + -7x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -7x = -24 + 0 -32 + -7x = -24 Add '32' to each side of the equation. -32 + 32 + -7x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = -24 + 32 -7x = -24 + 32 Combine like terms: -24 + 32 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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