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Simplifying 5x + -4 = 12x + -46 Reorder the terms: -4 + 5x = 12x + -46 Reorder the terms: -4 + 5x = -46 + 12x Solving -4 + 5x = -46 + 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. -4 + 5x + -12x = -46 + 12x + -12x Combine like terms: 5x + -12x = -7x -4 + -7x = -46 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -7x = -46 + 0 -4 + -7x = -46 Add '4' to each side of the equation. -4 + 4 + -7x = -46 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = -46 + 4 -7x = -46 + 4 Combine like terms: -46 + 4 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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