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Simplifying 3(3 + -3(x + 1)) + 1 = 2x + 32 Reorder the terms: 3(3 + -3(1 + x)) + 1 = 2x + 32 3(3 + (1 * -3 + x * -3)) + 1 = 2x + 32 3(3 + (-3 + -3x)) + 1 = 2x + 32 Combine like terms: 3 + -3 = 0 3(0 + -3x) + 1 = 2x + 32 3(-3x) + 1 = 2x + 32 Remove parenthesis around (-3x) 3 * -3x + 1 = 2x + 32 Multiply 3 * -3 -9x + 1 = 2x + 32 Reorder the terms: 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 = 31 -11x = 31 Divide each side by '-11'. x = -2.818181818 Simplifying x = -2.818181818
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