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Simplifying 7x + -6 = 5x + 15 + -6x Reorder the terms: -6 + 7x = 5x + 15 + -6x Reorder the terms: -6 + 7x = 15 + 5x + -6x Combine like terms: 5x + -6x = -1x -6 + 7x = 15 + -1x Solving -6 + 7x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 7x + x = 15 + -1x + x Combine like terms: 7x + x = 8x -6 + 8x = 15 + -1x + x Combine like terms: -1x + x = 0 -6 + 8x = 15 + 0 -6 + 8x = 15 Add '6' to each side of the equation. -6 + 6 + 8x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 15 + 6 8x = 15 + 6 Combine like terms: 15 + 6 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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