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Simplifying 5x + -1 = 12x + -43 Reorder the terms: -1 + 5x = 12x + -43 Reorder the terms: -1 + 5x = -43 + 12x Solving -1 + 5x = -43 + 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. -1 + 5x + -12x = -43 + 12x + -12x Combine like terms: 5x + -12x = -7x -1 + -7x = -43 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -7x = -43 + 0 -1 + -7x = -43 Add '1' to each side of the equation. -1 + 1 + -7x = -43 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = -43 + 1 -7x = -43 + 1 Combine like terms: -43 + 1 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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