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Simplifying 14x + -8 + 2x + -5 = 13x + -2 + 2x Reorder the terms: -8 + -5 + 14x + 2x = 13x + -2 + 2x Combine like terms: -8 + -5 = -13 -13 + 14x + 2x = 13x + -2 + 2x Combine like terms: 14x + 2x = 16x -13 + 16x = 13x + -2 + 2x Reorder the terms: -13 + 16x = -2 + 13x + 2x Combine like terms: 13x + 2x = 15x -13 + 16x = -2 + 15x Solving -13 + 16x = -2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -13 + 16x + -15x = -2 + 15x + -15x Combine like terms: 16x + -15x = 1x -13 + 1x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 -13 + 1x = -2 + 0 -13 + 1x = -2 Add '13' to each side of the equation. -13 + 13 + 1x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -2 + 13 1x = -2 + 13 Combine like terms: -2 + 13 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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