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Simplifying 4x + 12 = -46 + -9x Reorder the terms: 12 + 4x = -46 + -9x Solving 12 + 4x = -46 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 4x + 9x = -46 + -9x + 9x Combine like terms: 4x + 9x = 13x 12 + 13x = -46 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 13x = -46 + 0 12 + 13x = -46 Add '-12' to each side of the equation. 12 + -12 + 13x = -46 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = -46 + -12 13x = -46 + -12 Combine like terms: -46 + -12 = -58 13x = -58 Divide each side by '13'. x = -4.461538462 Simplifying x = -4.461538462
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