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Simplifying 3(3x + -1) = 8(x + 1) Reorder the terms: 3(-1 + 3x) = 8(x + 1) (-1 * 3 + 3x * 3) = 8(x + 1) (-3 + 9x) = 8(x + 1) Reorder the terms: -3 + 9x = 8(1 + x) -3 + 9x = (1 * 8 + x * 8) -3 + 9x = (8 + 8x) Solving -3 + 9x = 8 + 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 = 8 + 8x + -8x Combine like terms: 9x + -8x = 1x -3 + 1x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 1x = 8 + 0 -3 + 1x = 8 Add '3' to each side of the equation. -3 + 3 + 1x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 8 + 3 1x = 8 + 3 Combine like terms: 8 + 3 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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