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Simplifying 8x + 12 = 45 + -3x Reorder the terms: 12 + 8x = 45 + -3x Solving 12 + 8x = 45 + -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. 12 + 8x + 3x = 45 + -3x + 3x Combine like terms: 8x + 3x = 11x 12 + 11x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 11x = 45 + 0 12 + 11x = 45 Add '-12' to each side of the equation. 12 + -12 + 11x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 45 + -12 11x = 45 + -12 Combine like terms: 45 + -12 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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