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Simplifying 2(4x + -1) = 19 + x Reorder the terms: 2(-1 + 4x) = 19 + x (-1 * 2 + 4x * 2) = 19 + x (-2 + 8x) = 19 + x Solving -2 + 8x = 19 + 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 = 19 + x + -1x Combine like terms: 8x + -1x = 7x -2 + 7x = 19 + x + -1x Combine like terms: x + -1x = 0 -2 + 7x = 19 + 0 -2 + 7x = 19 Add '2' to each side of the equation. -2 + 2 + 7x = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 19 + 2 7x = 19 + 2 Combine like terms: 19 + 2 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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