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Simplifying 4x + 6 + -5x = 2 + 7x Reorder the terms: 6 + 4x + -5x = 2 + 7x Combine like terms: 4x + -5x = -1x 6 + -1x = 2 + 7x Solving 6 + -1x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -1x + -7x = 2 + 7x + -7x Combine like terms: -1x + -7x = -8x 6 + -8x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -8x = 2 + 0 6 + -8x = 2 Add '-6' to each side of the equation. 6 + -6 + -8x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 2 + -6 -8x = 2 + -6 Combine like terms: 2 + -6 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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