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Simplifying 6x + 7 = 10 + -2x Reorder the terms: 7 + 6x = 10 + -2x Solving 7 + 6x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x 7 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 8x = 10 + 0 7 + 8x = 10 Add '-7' to each side of the equation. 7 + -7 + 8x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 10 + -7 8x = 10 + -7 Combine like terms: 10 + -7 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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