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Simplifying 10x + -8 + 3x + -4 = 9x + -2 + 3x Reorder the terms: -8 + -4 + 10x + 3x = 9x + -2 + 3x Combine like terms: -8 + -4 = -12 -12 + 10x + 3x = 9x + -2 + 3x Combine like terms: 10x + 3x = 13x -12 + 13x = 9x + -2 + 3x Reorder the terms: -12 + 13x = -2 + 9x + 3x Combine like terms: 9x + 3x = 12x -12 + 13x = -2 + 12x Solving -12 + 13x = -2 + 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 + 13x + -12x = -2 + 12x + -12x Combine like terms: 13x + -12x = 1x -12 + 1x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 1x = -2 + 0 -12 + 1x = -2 Add '12' to each side of the equation. -12 + 12 + 1x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -2 + 12 1x = -2 + 12 Combine like terms: -2 + 12 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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