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Simplifying 10x + -6 = 2x + 7 Reorder the terms: -6 + 10x = 2x + 7 Reorder the terms: -6 + 10x = 7 + 2x Solving -6 + 10x = 7 + 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. -6 + 10x + -2x = 7 + 2x + -2x Combine like terms: 10x + -2x = 8x -6 + 8x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 8x = 7 + 0 -6 + 8x = 7 Add '6' to each side of the equation. -6 + 6 + 8x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 7 + 6 8x = 7 + 6 Combine like terms: 7 + 6 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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