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Simplifying 14x + -6 = 13x + 21 + -4 Reorder the terms: -6 + 14x = 13x + 21 + -4 Reorder the terms: -6 + 14x = 21 + -4 + 13x Combine like terms: 21 + -4 = 17 -6 + 14x = 17 + 13x Solving -6 + 14x = 17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 14x + -13x = 17 + 13x + -13x Combine like terms: 14x + -13x = 1x -6 + 1x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + 1x = 17 + 0 -6 + 1x = 17 Add '6' to each side of the equation. -6 + 6 + 1x = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 17 + 6 1x = 17 + 6 Combine like terms: 17 + 6 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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