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Simplifying 13x + -6 + 3x + -4 = 12x + -2 + 3x Reorder the terms: -6 + -4 + 13x + 3x = 12x + -2 + 3x Combine like terms: -6 + -4 = -10 -10 + 13x + 3x = 12x + -2 + 3x Combine like terms: 13x + 3x = 16x -10 + 16x = 12x + -2 + 3x Reorder the terms: -10 + 16x = -2 + 12x + 3x Combine like terms: 12x + 3x = 15x -10 + 16x = -2 + 15x Solving -10 + 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. -10 + 16x + -15x = -2 + 15x + -15x Combine like terms: 16x + -15x = 1x -10 + 1x = -2 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + 1x = -2 + 0 -10 + 1x = -2 Add '10' to each side of the equation. -10 + 10 + 1x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -2 + 10 1x = -2 + 10 Combine like terms: -2 + 10 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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