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Simplifying 2x + 4 + -6x + 2 = 4x + 7.9 Reorder the terms: 4 + 2 + 2x + -6x = 4x + 7.9 Combine like terms: 4 + 2 = 6 6 + 2x + -6x = 4x + 7.9 Combine like terms: 2x + -6x = -4x 6 + -4x = 4x + 7.9 Reorder the terms: 6 + -4x = 7.9 + 4x Solving 6 + -4x = 7.9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + -4x + -4x = 7.9 + 4x + -4x Combine like terms: -4x + -4x = -8x 6 + -8x = 7.9 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -8x = 7.9 + 0 6 + -8x = 7.9 Add '-6' to each side of the equation. 6 + -6 + -8x = 7.9 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 7.9 + -6 -8x = 7.9 + -6 Combine like terms: 7.9 + -6 = 1.9 -8x = 1.9 Divide each side by '-8'. x = -0.2375 Simplifying x = -0.2375
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