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Simplifying 4x + 6.82 = 3x + -13.69 Reorder the terms: 6.82 + 4x = 3x + -13.69 Reorder the terms: 6.82 + 4x = -13.69 + 3x Solving 6.82 + 4x = -13.69 + 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. 6.82 + 4x + -3x = -13.69 + 3x + -3x Combine like terms: 4x + -3x = 1x 6.82 + 1x = -13.69 + 3x + -3x Combine like terms: 3x + -3x = 0 6.82 + 1x = -13.69 + 0 6.82 + 1x = -13.69 Add '-6.82' to each side of the equation. 6.82 + -6.82 + 1x = -13.69 + -6.82 Combine like terms: 6.82 + -6.82 = 0.00 0.00 + 1x = -13.69 + -6.82 1x = -13.69 + -6.82 Combine like terms: -13.69 + -6.82 = -20.51 1x = -20.51 Divide each side by '1'. x = -20.51 Simplifying x = -20.51
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