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Simplifying 3(3x + -2) + 5 = -2x + 32 Reorder the terms: 3(-2 + 3x) + 5 = -2x + 32 (-2 * 3 + 3x * 3) + 5 = -2x + 32 (-6 + 9x) + 5 = -2x + 32 Reorder the terms: -6 + 5 + 9x = -2x + 32 Combine like terms: -6 + 5 = -1 -1 + 9x = -2x + 32 Reorder the terms: -1 + 9x = 32 + -2x Solving -1 + 9x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 9x + 2x = 32 + -2x + 2x Combine like terms: 9x + 2x = 11x -1 + 11x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 11x = 32 + 0 -1 + 11x = 32 Add '1' to each side of the equation. -1 + 1 + 11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = 32 + 1 11x = 32 + 1 Combine like terms: 32 + 1 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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