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Simplifying 6x + -7 + 2x = 5x + 2(5 + x) + -2 Reorder the terms: -7 + 6x + 2x = 5x + 2(5 + x) + -2 Combine like terms: 6x + 2x = 8x -7 + 8x = 5x + 2(5 + x) + -2 -7 + 8x = 5x + (5 * 2 + x * 2) + -2 -7 + 8x = 5x + (10 + 2x) + -2 Reorder the terms: -7 + 8x = 10 + -2 + 5x + 2x Combine like terms: 10 + -2 = 8 -7 + 8x = 8 + 5x + 2x Combine like terms: 5x + 2x = 7x -7 + 8x = 8 + 7x Solving -7 + 8x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 8x + -7x = 8 + 7x + -7x Combine like terms: 8x + -7x = 1x -7 + 1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + 1x = 8 + 0 -7 + 1x = 8 Add '7' to each side of the equation. -7 + 7 + 1x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 8 + 7 1x = 8 + 7 Combine like terms: 8 + 7 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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