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Simplifying 14x + -43 = 6x + -13 + -7x Reorder the terms: -43 + 14x = 6x + -13 + -7x Reorder the terms: -43 + 14x = -13 + 6x + -7x Combine like terms: 6x + -7x = -1x -43 + 14x = -13 + -1x Solving -43 + 14x = -13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -43 + 14x + x = -13 + -1x + x Combine like terms: 14x + x = 15x -43 + 15x = -13 + -1x + x Combine like terms: -1x + x = 0 -43 + 15x = -13 + 0 -43 + 15x = -13 Add '43' to each side of the equation. -43 + 43 + 15x = -13 + 43 Combine like terms: -43 + 43 = 0 0 + 15x = -13 + 43 15x = -13 + 43 Combine like terms: -13 + 43 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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