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Simplifying 2(x + 8) = -33(x + 3) Reorder the terms: 2(8 + x) = -33(x + 3) (8 * 2 + x * 2) = -33(x + 3) (16 + 2x) = -33(x + 3) Reorder the terms: 16 + 2x = -33(3 + x) 16 + 2x = (3 * -33 + x * -33) 16 + 2x = (-99 + -33x) Solving 16 + 2x = -99 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 16 + 2x + 33x = -99 + -33x + 33x Combine like terms: 2x + 33x = 35x 16 + 35x = -99 + -33x + 33x Combine like terms: -33x + 33x = 0 16 + 35x = -99 + 0 16 + 35x = -99 Add '-16' to each side of the equation. 16 + -16 + 35x = -99 + -16 Combine like terms: 16 + -16 = 0 0 + 35x = -99 + -16 35x = -99 + -16 Combine like terms: -99 + -16 = -115 35x = -115 Divide each side by '35'. x = -3.285714286 Simplifying x = -3.285714286
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