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