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Simplifying 7(2x + -1) + x = 8x + 7 Reorder the terms: 7(-1 + 2x) + x = 8x + 7 (-1 * 7 + 2x * 7) + x = 8x + 7 (-7 + 14x) + x = 8x + 7 Combine like terms: 14x + x = 15x -7 + 15x = 8x + 7 Reorder the terms: -7 + 15x = 7 + 8x Solving -7 + 15x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 15x + -8x = 7 + 8x + -8x Combine like terms: 15x + -8x = 7x -7 + 7x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 7x = 7 + 0 -7 + 7x = 7 Add '7' to each side of the equation. -7 + 7 + 7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 7 + 7 7x = 7 + 7 Combine like terms: 7 + 7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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