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Simplifying 14x + -13 = 4x + 13 + 6x + 2 Reorder the terms: -13 + 14x = 4x + 13 + 6x + 2 Reorder the terms: -13 + 14x = 13 + 2 + 4x + 6x Combine like terms: 13 + 2 = 15 -13 + 14x = 15 + 4x + 6x Combine like terms: 4x + 6x = 10x -13 + 14x = 15 + 10x Solving -13 + 14x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -13 + 14x + -10x = 15 + 10x + -10x Combine like terms: 14x + -10x = 4x -13 + 4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 4x = 15 + 0 -13 + 4x = 15 Add '13' to each side of the equation. -13 + 13 + 4x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 15 + 13 4x = 15 + 13 Combine like terms: 15 + 13 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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