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Simplifying 3x + -8 + 4x = 12x + 10 + x Reorder the terms: -8 + 3x + 4x = 12x + 10 + x Combine like terms: 3x + 4x = 7x -8 + 7x = 12x + 10 + x Reorder the terms: -8 + 7x = 10 + 12x + x Combine like terms: 12x + x = 13x -8 + 7x = 10 + 13x Solving -8 + 7x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -8 + 7x + -13x = 10 + 13x + -13x Combine like terms: 7x + -13x = -6x -8 + -6x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + -6x = 10 + 0 -8 + -6x = 10 Add '8' to each side of the equation. -8 + 8 + -6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 10 + 8 -6x = 10 + 8 Combine like terms: 10 + 8 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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