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Simplifying 6x + -4x + -13 = 27 + -2x Reorder the terms: -13 + 6x + -4x = 27 + -2x Combine like terms: 6x + -4x = 2x -13 + 2x = 27 + -2x Solving -13 + 2x = 27 + -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. -13 + 2x + 2x = 27 + -2x + 2x Combine like terms: 2x + 2x = 4x -13 + 4x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 4x = 27 + 0 -13 + 4x = 27 Add '13' to each side of the equation. -13 + 13 + 4x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 27 + 13 4x = 27 + 13 Combine like terms: 27 + 13 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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