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Simplifying 2(4x + -1) = 7(x + 1) Reorder the terms: 2(-1 + 4x) = 7(x + 1) (-1 * 2 + 4x * 2) = 7(x + 1) (-2 + 8x) = 7(x + 1) Reorder the terms: -2 + 8x = 7(1 + x) -2 + 8x = (1 * 7 + x * 7) -2 + 8x = (7 + 7x) Solving -2 + 8x = 7 + 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. -2 + 8x + -7x = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x -2 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 1x = 7 + 0 -2 + 1x = 7 Add '2' to each side of the equation. -2 + 2 + 1x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 7 + 2 1x = 7 + 2 Combine like terms: 7 + 2 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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