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Simplifying 3(3x + -2) = x + 52 Reorder the terms: 3(-2 + 3x) = x + 52 (-2 * 3 + 3x * 3) = x + 52 (-6 + 9x) = x + 52 Reorder the terms: -6 + 9x = 52 + x Solving -6 + 9x = 52 + 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. -6 + 9x + -1x = 52 + x + -1x Combine like terms: 9x + -1x = 8x -6 + 8x = 52 + x + -1x Combine like terms: x + -1x = 0 -6 + 8x = 52 + 0 -6 + 8x = 52 Add '6' to each side of the equation. -6 + 6 + 8x = 52 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 52 + 6 8x = 52 + 6 Combine like terms: 52 + 6 = 58 8x = 58 Divide each side by '8'. x = 7.25 Simplifying x = 7.25
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