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Simplifying 4x + -6 + 8x = 6x + 36 + -8x Reorder the terms: -6 + 4x + 8x = 6x + 36 + -8x Combine like terms: 4x + 8x = 12x -6 + 12x = 6x + 36 + -8x Reorder the terms: -6 + 12x = 36 + 6x + -8x Combine like terms: 6x + -8x = -2x -6 + 12x = 36 + -2x Solving -6 + 12x = 36 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 12x + 2x = 36 + -2x + 2x Combine like terms: 12x + 2x = 14x -6 + 14x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 14x = 36 + 0 -6 + 14x = 36 Add '6' to each side of the equation. -6 + 6 + 14x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 36 + 6 14x = 36 + 6 Combine like terms: 36 + 6 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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