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Simplifying 14x + -6 + 2x + -3 = 13x + -2 + 2x Reorder the terms: -6 + -3 + 14x + 2x = 13x + -2 + 2x Combine like terms: -6 + -3 = -9 -9 + 14x + 2x = 13x + -2 + 2x Combine like terms: 14x + 2x = 16x -9 + 16x = 13x + -2 + 2x Reorder the terms: -9 + 16x = -2 + 13x + 2x Combine like terms: 13x + 2x = 15x -9 + 16x = -2 + 15x Solving -9 + 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. -9 + 16x + -15x = -2 + 15x + -15x Combine like terms: 16x + -15x = 1x -9 + 1x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + 1x = -2 + 0 -9 + 1x = -2 Add '9' to each side of the equation. -9 + 9 + 1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -2 + 9 1x = -2 + 9 Combine like terms: -2 + 9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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