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Simplifying 9x + -3 = 2(4x + 2) + -1 Reorder the terms: -3 + 9x = 2(4x + 2) + -1 Reorder the terms: -3 + 9x = 2(2 + 4x) + -1 -3 + 9x = (2 * 2 + 4x * 2) + -1 -3 + 9x = (4 + 8x) + -1 Reorder the terms: -3 + 9x = 4 + -1 + 8x Combine like terms: 4 + -1 = 3 -3 + 9x = 3 + 8x Solving -3 + 9x = 3 + 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. -3 + 9x + -8x = 3 + 8x + -8x Combine like terms: 9x + -8x = 1x -3 + 1x = 3 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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