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Simplifying 4x + 6 = 8x + 5 + -7x Reorder the terms: 6 + 4x = 8x + 5 + -7x Reorder the terms: 6 + 4x = 5 + 8x + -7x Combine like terms: 8x + -7x = 1x 6 + 4x = 5 + 1x Solving 6 + 4x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 4x + -1x = 5 + 1x + -1x Combine like terms: 4x + -1x = 3x 6 + 3x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 3x = 5 + 0 6 + 3x = 5 Add '-6' to each side of the equation. 6 + -6 + 3x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 5 + -6 3x = 5 + -6 Combine like terms: 5 + -6 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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