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Simplifying 5x + 12 = 32x + -15 Reorder the terms: 12 + 5x = 32x + -15 Reorder the terms: 12 + 5x = -15 + 32x Solving 12 + 5x = -15 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 12 + 5x + -32x = -15 + 32x + -32x Combine like terms: 5x + -32x = -27x 12 + -27x = -15 + 32x + -32x Combine like terms: 32x + -32x = 0 12 + -27x = -15 + 0 12 + -27x = -15 Add '-12' to each side of the equation. 12 + -12 + -27x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -27x = -15 + -12 -27x = -15 + -12 Combine like terms: -15 + -12 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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