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Simplifying 2(4x + -1) + -3 = 8 + x + 1 Reorder the terms: 2(-1 + 4x) + -3 = 8 + x + 1 (-1 * 2 + 4x * 2) + -3 = 8 + x + 1 (-2 + 8x) + -3 = 8 + x + 1 Reorder the terms: -2 + -3 + 8x = 8 + x + 1 Combine like terms: -2 + -3 = -5 -5 + 8x = 8 + x + 1 Reorder the terms: -5 + 8x = 8 + 1 + x Combine like terms: 8 + 1 = 9 -5 + 8x = 9 + x Solving -5 + 8x = 9 + 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. -5 + 8x + -1x = 9 + x + -1x Combine like terms: 8x + -1x = 7x -5 + 7x = 9 + x + -1x Combine like terms: x + -1x = 0 -5 + 7x = 9 + 0 -5 + 7x = 9 Add '5' to each side of the equation. -5 + 5 + 7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 9 + 5 7x = 9 + 5 Combine like terms: 9 + 5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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