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Simplifying 6 + 5x + -4 = 3x + 7 + -6x Reorder the terms: 6 + -4 + 5x = 3x + 7 + -6x Combine like terms: 6 + -4 = 2 2 + 5x = 3x + 7 + -6x Reorder the terms: 2 + 5x = 7 + 3x + -6x Combine like terms: 3x + -6x = -3x 2 + 5x = 7 + -3x Solving 2 + 5x = 7 + -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. 2 + 5x + 3x = 7 + -3x + 3x Combine like terms: 5x + 3x = 8x 2 + 8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 8x = 7 + 0 2 + 8x = 7 Add '-2' to each side of the equation. 2 + -2 + 8x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 7 + -2 8x = 7 + -2 Combine like terms: 7 + -2 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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