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Simplifying 13x + -8 + 3x + -4 = 12x + -2 + 3 Reorder the terms: -8 + -4 + 13x + 3x = 12x + -2 + 3 Combine like terms: -8 + -4 = -12 -12 + 13x + 3x = 12x + -2 + 3 Combine like terms: 13x + 3x = 16x -12 + 16x = 12x + -2 + 3 Reorder the terms: -12 + 16x = -2 + 3 + 12x Combine like terms: -2 + 3 = 1 -12 + 16x = 1 + 12x Solving -12 + 16x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 16x + -12x = 1 + 12x + -12x Combine like terms: 16x + -12x = 4x -12 + 4x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 4x = 1 + 0 -12 + 4x = 1 Add '12' to each side of the equation. -12 + 12 + 4x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 1 + 12 4x = 1 + 12 Combine like terms: 1 + 12 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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