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Simplifying 14.6 = -3x + -5.8 + 6x Reorder the terms: 14.6 = -5.8 + -3x + 6x Combine like terms: -3x + 6x = 3x 14.6 = -5.8 + 3x Solving 14.6 = -5.8 + 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. 14.6 + -3x = -5.8 + 3x + -3x Combine like terms: 3x + -3x = 0 14.6 + -3x = -5.8 + 0 14.6 + -3x = -5.8 Add '-14.6' to each side of the equation. 14.6 + -14.6 + -3x = -5.8 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -3x = -5.8 + -14.6 -3x = -5.8 + -14.6 Combine like terms: -5.8 + -14.6 = -20.4 -3x = -20.4 Divide each side by '-3'. x = 6.8 Simplifying x = 6.8
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