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Simplifying 3(3x + -1) = x + 40 Reorder the terms: 3(-1 + 3x) = x + 40 (-1 * 3 + 3x * 3) = x + 40 (-3 + 9x) = x + 40 Reorder the terms: -3 + 9x = 40 + x Solving -3 + 9x = 40 + 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. -3 + 9x + -1x = 40 + x + -1x Combine like terms: 9x + -1x = 8x -3 + 8x = 40 + x + -1x Combine like terms: x + -1x = 0 -3 + 8x = 40 + 0 -3 + 8x = 40 Add '3' to each side of the equation. -3 + 3 + 8x = 40 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 40 + 3 8x = 40 + 3 Combine like terms: 40 + 3 = 43 8x = 43 Divide each side by '8'. x = 5.375 Simplifying x = 5.375
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