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Simplifying 4x + -6 + 2x = 5 + -3x + 8 Reorder the terms: -6 + 4x + 2x = 5 + -3x + 8 Combine like terms: 4x + 2x = 6x -6 + 6x = 5 + -3x + 8 Reorder the terms: -6 + 6x = 5 + 8 + -3x Combine like terms: 5 + 8 = 13 -6 + 6x = 13 + -3x Solving -6 + 6x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 6x + 3x = 13 + -3x + 3x Combine like terms: 6x + 3x = 9x -6 + 9x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 9x = 13 + 0 -6 + 9x = 13 Add '6' to each side of the equation. -6 + 6 + 9x = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 13 + 6 9x = 13 + 6 Combine like terms: 13 + 6 = 19 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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