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Simplifying 2(4x + -1) = x + 7 + -2 Reorder the terms: 2(-1 + 4x) = x + 7 + -2 (-1 * 2 + 4x * 2) = x + 7 + -2 (-2 + 8x) = x + 7 + -2 Reorder the terms: -2 + 8x = 7 + -2 + x Combine like terms: 7 + -2 = 5 -2 + 8x = 5 + x Solving -2 + 8x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 8x + -1x = 5 + x + -1x Combine like terms: 8x + -1x = 7x -2 + 7x = 5 + x + -1x Combine like terms: x + -1x = 0 -2 + 7x = 5 + 0 -2 + 7x = 5 Add '2' to each side of the equation. -2 + 2 + 7x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 5 + 2 7x = 5 + 2 Combine like terms: 5 + 2 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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