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Simplifying 3(3x + -2) + -5 = (x + -3) + 52 Reorder the terms: 3(-2 + 3x) + -5 = (x + -3) + 52 (-2 * 3 + 3x * 3) + -5 = (x + -3) + 52 (-6 + 9x) + -5 = (x + -3) + 52 Reorder the terms: -6 + -5 + 9x = (x + -3) + 52 Combine like terms: -6 + -5 = -11 -11 + 9x = (x + -3) + 52 Reorder the terms: -11 + 9x = (-3 + x) + 52 Remove parenthesis around (-3 + x) -11 + 9x = -3 + x + 52 Reorder the terms: -11 + 9x = -3 + 52 + x Combine like terms: -3 + 52 = 49 -11 + 9x = 49 + x Solving -11 + 9x = 49 + 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. -11 + 9x + -1x = 49 + x + -1x Combine like terms: 9x + -1x = 8x -11 + 8x = 49 + x + -1x Combine like terms: x + -1x = 0 -11 + 8x = 49 + 0 -11 + 8x = 49 Add '11' to each side of the equation. -11 + 11 + 8x = 49 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 49 + 11 8x = 49 + 11 Combine like terms: 49 + 11 = 60 8x = 60 Divide each side by '8'. x = 7.5 Simplifying x = 7.5
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